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

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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)   (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 .
You get
100 - 4(4)(2) = 68
which yields two irrational solutions.
Choice D.

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