What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

the discriminant is equal to 0, which means the equation has no real number solutions.
the discriminant is equal to 0, which means the equation has one real number solution.
the discriminant is equal to 128, which means the equation has no real number solutions.
the discriminant is equal to 128, which means the equation has two real number solutions.

Answer : The discriminant is equal to 0, which means the equation has one real number solution.

The given quadratic equation is  

To find discriminant we use formula D=

When D >0, the equation has two real solutions.

when D <0, the equation has two complex solutions

When D=0, the equation has one real solution.

First we write the equation in the form of

 , a= -2, b=8, c=-8

Now we need to calculate D to find the number of solutions.

Discriminant D= =0

D=0 so, the equation has one real solution.

sine

step-by-step explanation:

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.