Question

PLEASE HELP!


Use the discriminant to determine the number and type of solutions for the following equation.


24x2 – 13 = 0


A.
Zero real solutions

B.
One rational solution

C.
Two rational solutions

D.
Two irrational solutions

Answer 1

The discriminant is b^2 - 4ac.

In your problem, a = 24 and b = 0 and c = -13.
So, b^2 - 4ac = (0)^2 - 4(24)(-13)
= 0 +1248

Since 1248 is greater than 0 but NOT a perfect square, the roots are real, and have irrational solutions.