Solving a quadratic equation by completing the square solve x2 + 8x = 33 by completing the square. which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}

Divide the coefficient of x by 2 then square the quotient.
Add the result to both sides of the equation.







Factor the left-hand side.



Square both sides.



Subtract both sides by 4.



Simplify.


So, x can either equal -4 + 7 or -4 - 7

So, the answer is {-11, 3}

NOTE: You're probably seeing a strange A in the equations. I tried to fix it, but I couldn't. Sorry about that.