SOLUTION: I can't figure this one out. Does anyone think they can help me? Thanks for your efforts. Evaluate the discriminant to determine the nature of the roots of: 15x^2 + 2x = 1

Algebra ->  Expressions-with-variables -> SOLUTION: I can't figure this one out. Does anyone think they can help me? Thanks for your efforts. Evaluate the discriminant to determine the nature of the roots of: 15x^2 + 2x = 1       Log On


   

Question 60946This question is from textbook college algebra
: I can't figure this one out. Does anyone think they can help me? Thanks for your efforts.
Evaluate the discriminant to determine the nature of the roots of:
15x^2 + 2x = 1

DO NOT SOLVE THE EQUATION. Thanks for any assistance. This question is from textbook college algebra

Answer by joyofmath(189) About Me  (Show Source):
You can put this solution on YOUR website!
Write 15x%5E2+%2B+2x+=+1+
as 15x%5E2%2B2x-1+=+0
This is a quadratic equation where a=15,b=2, and c=-1
The discriminant, D = b%5E2-4ac = 2%5E2-4%2815%29%28-1%29 = 4%2B60 = 64
64 is a positive perfect square so the equation has 2 distinct rational roots (since a, b and c are rational).