Question

Find the values of a and b such that x2 - 2x + 2 = (x -a) + b LOADS OF POINTS ON THE LINE!!!

Answer 1

Explanation:

Factorize using square root method.

x² - 2x + 2 = (x-a)² + b

x² -2x + 1 + 1 = (x-a)²+b

(x² - 2*x*1 + 1²) + 1 = (x -a)²+ b {Compare with a²- 2ab+b² which is (a - b)²}

(x - 1)² + 1 = (x - a)² + b

a = 1 and b = 1