Question

Use the discriminant to describe the roots of each equation. Then select the best description.

x2 - 5x + 7 = 0

double root
real and rational roots
real and irrational roots
non-real roots

Answer 1

real and irrational the other guy was incorrect i actually tried and failed

Explanation:

Answer 2

This has non-real roots.

The discriminant is given by b²-4ac. If this is equal to 0, there is 1 real solution; if it is a positive number, there are 2 real solutions; and if it is negative, there are no real solutions.

In our equation, a = 1, b = -5, and c = 7:

(-5)²-4(1)(7) = 25 - 28 = -3

Thus no real solutions.