SOLUTION: 1) What is the value of the discriminant? 11x^2-7x-14=0 2) Does it have two real solutions, two imaginary solutions, or one real solution?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 1) What is the value of the discriminant? 11x^2-7x-14=0 2) Does it have two real solutions, two imaginary solutions, or one real solution?      Log On


   

Question 333763: 1) What is the value of the discriminant?
11x^2-7x-14=0
2) Does it have two real solutions, two imaginary solutions, or one real solution?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the value of the discriminant?
11x^2-7x-14=0
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D = b^2-4ac
D = 7^2-4*11*-14 = -9
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2) Does it have two real solutions, two imaginary solutions, or one real solution?
Since D < 0, two imaginary solutions.
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Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
11x%5E2-7x-14=0
The formula is
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
The discriminant is
+b%5E2-4%2Aa%2Ac+
Where
b+=+-7
a+=+11
c+=+-14
%28-7%29%5E2+-+4%2A11%2A%28-14%29+=+49+%2B392+
49+%2B+392+=+441
sqrt%28441%29+=+21
Since the discriminant is positive (441), and it is not zero,
there are 2 real solutions
If the discriminant were zero, there would be 1 real solution.