Question

x-a x-b
Solve the quadratic equation:
x-b x-a
a b
ba​

Answer 1

Step-by-step explanation:

LHS

(x-a)² + (x-b)²

(x-a) (x-b)

= x²+ a² - 2ax + x² + b² - 2bx

x²- xb - ax +ab

= 2x² + a² + b² - 2ax -2bx

x²- xb - ax +ab

2x² + a² +b² -2x(a+b)

x² -x(a+b) + ab

=

RHS

a² + b² = (a+b)² - 2ab

ab ab

equate the both the sides LHS= RHS