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

ANSWER


EXPLANATION

The quadratic equation given to us is



We add half the square of the coefficient of

to both sides of the equation to obtain,



This implies that,


The right hand side simplifies to



The left hand side is a perfect square.

This gives us



We take the square root of both sides



This evaluates to



We make x the subject.



We now split the square root sign to get

.





The correct answer is A.