Question

How many real number solutions does the equation y=2x^2−8x+8 have?

Answer 1

1 real solution

Explanation:

y=2x^2−8x+8

We can use the discriminant to determine the number of real solutions

b^2 -4ac

a =2 b = -8 c=8

(-8)^2 - 4(2)(8)

64 - 64

0

Since the discriminant is 0 there is 1 real solution

>0 there are 2 real solutions

< 0 two complex solutions