SOLUTION: How many and what type of solutions does the equation have? –4x^2 – 2 = 10x A. no real solutions B. one real solution C. two rational solutions D. two irrational solutions

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How many and what type of solutions does the equation have? –4x^2 – 2 = 10x A. no real solutions B. one real solution C. two rational solutions D. two irrational solutions       Log On


   



Question 1024523: How many and what type of solutions does the equation have? –4x^2 – 2 = 10x A. no real solutions B. one real solution C. two rational solutions D. two irrational solutions
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
First put this in standard form...
–4x^2 – 2 = 10x
-4x^2 - 10x - 2 = 0 or
4x^2 + 10x + 2 = 0
Then compute the discriminant b%5E2+-+4ac.
You get
100 - 4(4)(2) = 68
which yields two irrational solutions.
Choice D.