Find the roots of y=x^{2}+2x+2

y=x2+2x-3

Can solve using quadratic equation. Using the square method to obtain for the square term and x term (x+1)(x+1) = x2+2x+1

Therefore (x+1)(x+1)-4=y

To find roots equate to zero:     (x+1)(x+1)-4=0

Therefore:          (x+1)2=4

Which implies that:   x+1=+/-2

Therefore roots are x=-3 and x=1

Input these into the original equation to check and will see that these are correct.

HS
Answered by Harry S. Maths tutor

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