Complete the square to Solve Quadratic Equation:

Question

Solve the equation. Express the answer in simplest radical form.
-x^2-7x=-11

Please Help!!!! Thanks.

Answer 1

-x^2-7x=-11
x^2 - 7x = 11
x^2 - 7x + 49/4 = 11 + 49/4
(x - 7/2)^2 = 44/4 + 49/4
x - 7/2 = ± √93/2
x = (7 ±√93)/2

Answer 2

Thank you so much, but I was wondering:
-x^2-7x=-11
x^2 - 7x = 11

You have to divide by -1, wouldn't it be positive 7x.

Answer 3

YOU ARE RIGHT!
good for you for catching that.

I am sure you can make the necessary changes.
(there is one small change)

Answer 4

This is not a trigonometry question.

x^2 + 7x + (7/2)^2 = 11 + (7/2)^2
(x + 7/2)^2 = 23 1/4

x = -7/2 +/- sqrt(93)/2

Answer 5

Thank you so much!!!!

Could you please help me with another type of trig math question. I greatly appreciate your help.