Question

Solve the quadratic equation by completing the square.

x^2+12x+34=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. If there is more than one solution, separate them with commas.

Form:
(x+_)^2=0
or
(x-_)^2=0

Solution:
x=_

Answer 1

x = -4.59, -7.41.

Explanation:

x^2 + 12x + 34 = 0

(x + 6)^2 - 36 +34 = 0

(x + 6)^2 = 36 - 34 = 2

x + 6 = +/-√2

x = +/-√2 - 6

x = -4.59, -7.41