Jika (2x+3y)(px+qy)=rx2+23xy+12y2, maka nilai r = ...

Pertanyaan

Jika $\left(2x+3y\right)\left(px+qy\right)=rx^2+23xy+12y^2$ , maka nilai r = ...

R. RGFLLIMA

Master Teacher

Jawaban terverifikasi

Jawaban

nilai r = 10

Pembahasan

open parentheses 2 x plus 3 y close parentheses open parentheses p x plus q y close parentheses equals 2 x open parentheses p x plus q y close parentheses plus 3 y open parentheses p x plus q y close parentheses equals 2 p x squared plus 2 q x y plus 3 p x y plus 3 q y squared equals 2 p x squared plus open parentheses 2 q plus 3 p close parentheses x y plus 3 q y squared

sehingga

Dengan sifat keidentikan, maka koefisien :

Koefisien xy:

left right double arrow 2 q plus 3 p equals 23 left right double arrow 2 left parenthesis 4 right parenthesis plus 3 p equals 23 left right double arrow 8 plus 3 p equals 23 left right double arrow 3 p equals 25 left right double arrow p equals 5

Koefisien :

left right double arrow 2 p equals r left right double arrow 2 left parenthesis 5 right parenthesis equals r left right double arrow r equals 10

Jadi, nilai r = 10

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