Question

Use the discriminant to describe the roots of each equation. Then select the best description.16x2 + 8x + 1 = 0double rootreal and rational rootsreal and irrational rootsnon-real roots

Answer 1

Hello!

The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.

The value of the discriminant will tell us how many solutions there are to the given quadratic equation.

A positive discriminant will have two real solutions.

A discriminant of zero will have one real solution.

A negative discriminant will no real solutions.

1. Substitute, a = 16, b = 8, c = 1.

8² - 4(16)(1)

64 - 4(16)(1)

64 - 64(1)

64 - 64

0

Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.