kunci gitar lagu grenade (bruno mars)

 Artist:       Bruno Mars
 Title:        Grenade
 Album:        Doo wops and Hooligans
 Tabbed by:    Mary J.
              


 Standard Tuning

 Chords Used:
 Am       x02210
 Em       022000
 F        133211
 E        022100
 C        x32010
 G        355433

    CAPO 5 
  
 [ Verse 1]

  Am
 Easy come, easy go,
 Am
 That's just how you live, oh,
 Em
 Take, take, take it all,
 Em
 But you never give.
 Am
 Should've known you was trouble
 Am
 From the first kiss,
 Em
 Had your eyes wide open.
 Em (pause)
 Why were they open?

  [Refrain]

 Am
 Gave you all I had and you tossed it in the trash,
 Em
 You tossed it in the trash, you did.
     Am
 To give me all your love is all I ever asked, 'cause
  F                    E
 What you don't understand is

  [Chorus]
  
                  Am      F        C
 I'd catch a grenade for ya (yeah, yeah)
           Gmaj         Am       F        C 
 Throw my hand on a blade for ya (yeah, yeah)
               Gmaj         Am       F        C 
 I'd jump in front of a train for ya (yeah, yeah)
               Gmaj      Am      F         C     Gmaj
 You know I'd do anything for ya (yeah, yeah)
                 F                       Gmaj
 Oh, oh, I would go through all of this pain,
         C                 E         Am   Gmaj
 Take a bullet straight through my brain!
               F              E
 Yes, I would die for ya, baby,
 E (pause) 
 But you won't do the same. 


 Am   Am   Em   Em
 No, no no


 [Verse 2]

 Am
 Black, black, black and blue, beat me 'til I'm numb,
           Em 
 Tell the devil I said "hey" when you get back to where you're from.
 Am
 Mad woman, bad woman, that's just what you are,
                Em
 Yeah, you'll smile in my face then rip the brakes out my car

 [Refrain]

  Am
 Gave you all I had and you tossed it in the trash,
  Em
 You tossed it in the trash, yes you did.
     Am
 To give me all your love is all I ever asked, 'cause
 F                   E
 What you don't understand is

 [Chorus]

                 Am      F        C
 I'd catch a grenade for ya (yeah, yeah)
           Gmaj         Am       F        C 
 Throw my hand on a blade for ya (yeah, yeah)
               Gmaj         Am       F        C 
 I'd jump in front of a train for ya (yeah, yeah)
               Gmaj      Am      F         C     Gmaj
 You know I'd do anything for ya (yeah, yeah)
                 F                       Gmaj
 Oh, oh, I would go through all of this pain,
         C                 E         Am   Gmaj
 Take a bullet straight through my brain!
               F              E
 Yes, I would die for ya, baby,
 E (pause) 
 But you won't do the same.

 [Bridge]

  F
  If my body was on fire, 
  Am
  Ooh, you'd watch me burn down in flames.
  F
  You said you loved me, you're a liar,
             E
  'cause you never, ever, ever did, baby!

  (Am   Am   Em   Em/pause)

  But, darling 

  [Chorus]

                        Am      F        C
 I'd still catch a grenade for ya (yeah, yeah)
           Gmaj         Am       F        C 
 Throw my hand on a blade for ya (yeah, yeah)
               Gmaj         Am       F        C 
 I'd jump in front of a train for ya (yeah, yeah)
               Gmaj      Am      F         C     Gmaj
 You know I'd do anything for ya (yeah, yeah)
                 F                       Gmaj
 Oh, oh, I would go through all of this pain,
         C                 E         Am   Gmaj
 Take a bullet straight through my brain!
               F              E
 Yes, I would die for ya, baby,
 E (pause) 
 But you won't do the same.

 [Outro]

 (Am)
 No, you won't do the same
 (Em) 
 You wouldn't do the same
 (Am)
 Ooh, you'd never do the same
 (Em)
 Ohh, no no no




 Have Fun ;)
   Peace!

                                                                                                                                                By: henokh

Persamaan Kuadrad

Bentuk Umum Persamaan Kuadrat dalam x => ax² + bx + c =o  (a,b,c  € R) dan a ≠ 0 

Cara menyelesaikan persamaan kuadrat ada 3, yaitu :

1. Memfaktorkan => (x-a) (x-b) = 0

    Contoh :

    a. X² + 12x +32 = 0 => (x + 4) ( x + 8)

    b. X²  + x – 56   = 0 => (x + 8) (x – 7)

    c. X² -6x – 27    = 0 => (x – 9) (x + 3)

    d. 2x² – 5x – 3   = 0 => (2x – 1) (x + 3)

    e. 3x² – 6x         = 0 => 3x(x – 2)

2. Melengkapi Kuadrat Sempurna => (x - p)² = q

      Ada beberapa langkah, yaitu :

      1.  Koefisien x² harus 1

      2. Konstanta pindah ke ruas kanan {-> x² + mx = n

      3. Diubah ke bentuk kuadrat sempurna (x + p)² = q

   

    Contoh :

    a. x² + 8x + 12            = 0

        x² + 8x                     = -12

        x² + 8x + (1/2 . 8)² = -12 + (1/2 . 8)²

        x²   + 8x + 16          = -12 + 16

               (x + 4)²             = 4

                x + 4                = ±√4

                      x                 = -4 ± 2

                      x                 = -6 , -2

3. RUMUS ABC => x_1,2 = { -b ± √(b² - 4ac) } / 2a

   Contoh :

    a. x² + 8x + 5 => x_1,2 = { -8 ± √(8² – 4.1.5) } / 2.1

                                          = { -8 ± √(64 – 20) } / 2

                                          = ( -8 ± √39 ) / 2

Penjumlahan dan Pekalian akar2 Penyelesaian Persamaan Kuadrat
dari x_1,2 = { -b ± √(b² - 4ac) } / 2a dengan D = b² - 4ac maka x₁ = (-b + √D) / 2adan x₂ = (-b - √D) / 2a
* D adalah Deskriminan

1. x₁ + x₂ = {(-b + √D) / 2a} + {(-b - √D) / 2a}

                    = (-b + √D - b - √D) / 2a

                    = -2b / 2a

                    = -b /a
Jadi, x₁ + x₂ = -b/a

2. x₁ - x₂ = {(-b + √D) / 2a} - {(-b - √D) / 2a}

                  = (-b + √D + b + √D) / 2a

                  = 2√D / 2a

                  = √D /a

Jadi, x₁ - x₂ = √D/a

3. x₁ . x₂ = {(-b + √D) / 2a} {(-b - √D) / 2a}

                  = (b² - D) / 4a²

                  = b² - (b² - 4ac) / 4a²

                  = (b² - b² + 4ac) / 4a²

                  = 4ac / 4a²

                  = c/a

Jadi, x₁ . x₂ = c/a

4. (x₁ + x₂)² = x₁² + 2(x₁ . x₂) + x₂²
     (x₁ + x₂)² - 2(x₁ . x₂) = x₁² + x₂²
Jadi, x₁² + x₂² = (x₁ + x₂)² - 2(x₁ . x₂)

5. (x₁ + x₂)³ = x₁³+ 3x₁². x₂ + 3x₁ . x₂² + x₂³
       (x₁ + x₂)³ -  3x₁². x₂ + 3x₁ . x₂² = x₁³ + x₂³ 
              (x₁ + x₂)³ -  3x₁.x₂(x₁ + x₂)  = x₁³ + x₂³  
Jadi, x₁³ + x₂³ = (x₁ + x₂)³ -  3x₁.x₂(x₁ + x₂)

contoh soal!

1. Persamaan kuadrat -2x² +4x-5=0 akar2nya α dan β

    Tentukan : a.  α + β                 d. α³ + β³

                        b. α . β                    e. 1/α + 1/β

                        c. α² + β²                f. 1/(α+2) + 1/(β+2)

   Jawaban :

   a. α + β     = -b/a = 2

   b. α . β      = c/a   = 5/2

   c. α² + β² = (α + β)² - 2(α . β)

                    = 2² - 2.5/2

                    = 4 - 5

                    = -1

   d. α³ + β³ = (α + β)³ - 3α.β (α+β )

                    = 2³  - 3.5/2.2

                    = 8 - 15

                    = -7

   e. 1/α + 1/β = (α + β) / αβ

                        = 2 / (5/2)

                        = 4/5

   f. 1/(α+2) + 1/(β+2) = {(α+2) + (β+2)} / {(α+2) (β+2)}

                                      = {(α+β) + 4} / {α.β + 2(α+β) + 4}

                                      = (2+4) / (5/2 + 2.2 + 4)

                                      = 6 / (21/2)

                                      = 12/21 

                                      = 4/7

Menyusun Persamaan Kuadrat Baru 

Ada 2 cara untuk menyusun persamaan kuadrat baru yang akar2nya x₁ dan x₂ yaitu,

1. (x - x₁) (x - x₂) = 0

Contoh soal : Susunlah Persamaan kuadrat baru yang akar2nya adalah

a. 2 dan 7 => PKB = (x - 2) (x -7)

                                  = x² - 9x +14

b. -3 dan -4 => PKB = {x-(-3)} {x-(-4)}

                                    = (x+3) (x+4)

                                    = x² + 7x + 12

c. -7 dan 2 => PKB = {x-(-7)} (x-2)

                                   = (x+7) (x-2)

                                   = x² + 5x - 14

d. 5 dan -2 => PKB = (x-5) {x-(-2)}

                                   = (x-5) (x+2)

                                   = x² - 3x - 10

2. x² - (x₁ + x₂)x + x₁.x₂ = 0

 Contoh soal : 

1. Susunlah Persamaan Kuadrat baru yang akar2nya adalah 2+√5 dan 2-√5!

    Jawaban :  x₁ + x₂ = (2+√5) +(2-√5) = 4 

                            x₁.x₂ = (2+√5) (2-√5)  = -1

    Jadi, PKB => x² - (x₁ + x₂)x + x₁.x₂ = 0

                       =>                    x² - 4x - 1 = 0

2. x₁ dan x₂ adalah akar2 persamaan kuadrat  x² - 2x + 5 = 0. Susunlah persamaan kuadrat baru yang akar2nya3 lebihnya dari akar2 persamaan kuadrat yang diletahui.

Jawaban  : x₁ + x₂ = -b/a = 2 dan x₁.x₂ = c/a = 5

                     x₁ = (x₁ + 3) dan x₂ = (x₂ + 3)

maka, x₁ + x₂ = (x₁ + 3) + (x₂ + 3)                  dan             x₁.x₂ = (x₁ + 3) (x₂ + 3)     

                         = (x₁ + x₂) + 6                                                       = x₁.x₂ + 3(x₁+x₂) + 9

                         = 2 + 6                                                                   = 5 + 3.2 + 9

                         = 8                                                                          = 20

Jadi, PKB => x² - (x₁ + x₂)x + x₁.x₂ = 0

                    =>                x² - 8x + 20 = 0

                    * Deskriminan (D) => D = b² - 4ac *

untuk menentukan jenis akar2 persamaan kuadrat, rumusnya :

a. D = 0 => Mempunyai 2 akar yang sama

b. D < 0 => Tidak mempunyai akar nyata (akar2nya imajiner)

c. D ≥ 0 => Mempunyai 2 akar nyata

d . D > 0 => Mempunyai 2 akar nyata dan berlawanan

Contoh Soal :

1. Tentukan nilai k agar persamaan kuadrat kx² + 3x + k = 0 mempunyai 2 akar sama/kembar

    Jawaban : Syarat akar kembar D = 0, maka

                        b² - 4ac = 3² - 4.k.k

                                     0 = 9 - 4k²

                                 4k² = 9

                                     k = √(9/4)

                        k = ± 3/2

2. Tentukan m agar persamaan kuadrat berikut x² - 2x + (m+1) = 0 Tidak mempunyai akar nyata.

     Jawaban : Syarat tidak mempunyai akar nyata D < 0, maka

                                 b² - 4ac < 0

                       2² - 4.1.(m+1) < 0

                               4 - 4m - 4 < 0

                                    0 - 4m < 0

                                       - 4m < 0

                                            m > 0

3. Tentukan P agar persamaan kuadrat x² + px + p = 0 mempunyai 2 akar real dan berbeda.

     Jawaban : Syarat akar real dan berbeda D > 0, maka

                             b² - 4ac > 0

                           p² - 4.1.p > 0

                               p² - 4p > 0

                              p(p - 4) > 0 

    Jadi, p < 0 dan p > 4