Question

Solve the quadratic equation by completing the square:

x^2-14x+36=0

First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Form:
A. (x+_)^2=_

B. (x-_)^2=_

Solution:
x=_

Answer 1

So first lets write down the problem x^2-14x+36=0

first we must subtract -36 from both sides x^2-14x=-36

now we subtract +14 on both sides 14-36=22

now we divide x^2/22 =11

your answer is x=11^2 or x^2=11

~ Hope This Helps ~ :D

Answer 2

x^2 - 14x + 36 = 0
x^2 - 14x = -36
(x - 7)^2 - 49 = -36
(x - 7)^2 = 13
taking square roots:-
x - 7 = +/- sqrt13

x = 7+sqrt13 , 7 - sqrt13