Question

40 pts
Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q. -6x2 + -6x + 12 = 0 A) (x + 2.5)2 = 0.75 B) (x + 2.5)2 = -0.75 C) (x + 0.5)2 = 2.25 D) (x + 0.5)2 = -2.25

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:

Step-by-step explanation:

the answer is c i just did it on usa

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