Question

Use method of completing the square to transform quadratic equation into form (x+p)^2=q.

quadratic equation to translate: 2x^2+2x+1=0

thank you!!

Answer 1

2(x +1/2)^2 = -1/2

Explanation:

The steps generally will be ...

1. subtract the constant

2x^2 +2x = -1

2. factor out the leading coefficient on the left

2(x^2 +x) = -1

3. add the square of half the x-coefficient inside parentheses, and an equal quantity on the other side of the equal sign

2(x^2 +x +1/4) = -1 +2(1/4)

4. simplify and write in the required form

2(x +1/2)^2 = -1/2