Find the values of a and b such that x^2+2x+2 = (x-a) ^2+b

a = - 1

b = 1

Step-by-step explanation:

Step 1: Isolate x's

x² + 2x = - 2

Step 2: Complete the Square

x² + 2x + 1 = - 2 + 1

(x + 1) ² = - 1

Step 3: Move everything to 1 side

(x + 1) ² + 1 = 0

And we have our answer.