8. Find the number of real number solutions for the equation. x2 – 10x + 25 = 0

A. 0
B. 1
C. 2
D. cannot be determined

B. 1

Step-by-step explanation:

Option B is correct

The number of real number solutions for the given equation is, 1.

Step-by-step explanation:

Given the equation:  

Since, this is a quadratic equation of the form of  

where a =1 , b = -10 and c =25.

The discriminant of a quadratic equation is,  

then;

Discriminant =  = (100-100) = 0

Since, a  discriminant of zero means there is only one real solution for x.

Substitute the given values.

Simplify:

x = 5

Therefore, the number of real solution for the given equation is, 1

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

x

step-by-step explanation: