Question

Using the discriminant, how many real solutions does the following quadratic

equation have?
x^2 - 8x + 16 = 0

A. Three real solutions
B. No real solutions
C. Two real solutions
D. One real solution

Answer 1

D one real solution

Explanation:

x^2 - 8x + 16 = 0

This is in the form

ax^2 +bx + c = 0

so we can use the discriminant to determine the number of solutions

b^2 -4ac

(-8)^2 -4(1)(16)

64 - 64

0

Since the discriminant is zero, there is one real solution.