Question

If f(x) = (a–b) ^2+4x-4 and g(x) = 6^2+ (a+b) x- 4 and f(x) =g(x). Find the value of a and b.

Answer 1

Answer:

f(x)=g(x)

let x=1

($(a-b) ^2+4x-4 = 6^2+ (a+b) x- 4 \\\\(a-b) ^2+4*1-4 = 36+ (a+b) *1- 4\\\\(a-b) ^2+4-4 = 36+ (a+b) - 4\\\\a^2+b^2-2ab=32+ a+b$