SOLUTION: Use the discriminate to determine the number of and type of solutions. -3m2 - 7m = 6 A. 2 rational solutions B. 2 irrational solutions C. 1 irrational solution

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use the discriminate to determine the number of and type of solutions. -3m2 - 7m = 6 A. 2 rational solutions B. 2 irrational solutions C. 1 irrational solution       Log On


   

Question 880640: Use the discriminate to determine the number of and type of solutions.
-3m2 - 7m = 6

A. 2 rational solutions

B. 2 irrational solutions

C. 1 irrational solution

D. 0 solutions
Answer by Alan3354(69443) About Me  (Show Source):
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Use the discriminate to determine the number of and type of solutions.
-3m2 - 7m = 6
3m^2 + 7m + 6 = 0
Use ^ for exponents.
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Discriminant D = b^2 - 4ac
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There are always 2 solutions.
If D = 0, the 2 solutions are equal and rational.
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If D is a perfect square > 0, there are 2 rational solutions.
If D < 0 there are 2 complex solutions (a conjugate pair).
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PS Discriminant, not discriminate.