The the method of completing the square to transform the quadratic equation into the equation form (c+p)^2=q.

6+12x+3x^2=0

a) (x+2)^2=2
b) (x+2)^2=-2
c) (x+2)^2=4
d) (x+2)^2=-4

a) (x+2)^2=2

Step-by-step explanation:

To complete the square, take the middle term bx and divide it in two. Then take the square.

6+12x+3x^2=0 should be rewritten as 3(x^2 + 4x) = -6 has bx = 4x. Take 4/2 = 2. Square 2^2 = 4.

Now to finish completing the square by adding 4 to each side.

3(x^2 + 4x + 4) = -6 + 3(4)

3(x^2 + 4x + 4) = -6 + 12

3(x+2)^2 = 6

(x+2)^2 = 2

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.