Given the equation x^2 - 8x + 15 = 0. Which statement is true?

Question

Given the equation x^2 - 8x + 15 = 0. Which statement is true?

a. the sum of the roots is 15

b. both roots are greater than zero

c. one root is less than zero and the other root is greater than zero

d. one root is zero and the other root is greater than zero

Answer 1

If this is factored, you can find the roots.

(x-3)(x-5)=0

Set each factor equal to zero and solve.

x-3=0

x=3

x-5=0

x=5

b. both roots are greater than zero