Question

MANY PTS AND BRAINLY FAST

Answer 1

Answer:

Option C

Step-by-step explanation:

we have

$-6x^{2} -6x+12=0$

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$-6x^{2} -6x=-12$

step 2

Factor -6 leading coefficient'

$-6(x^{2} +x)=-12$

step 3

Complete the square

Remember to balance the equation by adding the same constants to each side

$-6(x^{2} +x+0.25)=-12-1.5$

$-6(x^{2} +x+0.25)=-13.5$

step 4

Rewrite as perfect squares

$-6(x+0.5)^{2}=-13.5$

simplify

$(x+0.5)^{2}=2.25$

Answer 2

Answer:A

Step-by-step explanation: