The values of x in the given quadratic equation by completing the square are -11 and 3.
Hence, option A)-11,3 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Given th equation in the question;
x² + 8x = 33
Using completing the square method
First we take the half of the x term and square it
( 8/2 )² = 16
Now we add 16 to both sides
x² + 8x + 16 = 33 + 16
Next, we rewrite the perfect square on the left
( x + 4 )² = 33 + 16
( x + 4 )² = 49
We take square root of both sides
x + 4 = √49
x = -4 ± √49
x = -4 ± 7
x = -4 - 7 or -4 + 7
x = -11 or 3
x = -11, 3
The values of x in the given quadratic equation by completing the square are -11 and 3.
Hence, option A)-11,3 is the correct answer.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ5
