SOLUTION: Use the discriminant to determine whether the quadratic equation has two unequal real​ solutions, a repeated real​ solution, or no real solution without solving the equ

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Question 1109202: Use the discriminant to determine whether the quadratic equation has two unequal real​ solutions, a repeated real​ solution, or no real solution without solving the equation.
x squared plus 6 x minus 16 equals 0x2+6x−16=0

Found 3 solutions by Alan3354, ikleyn, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Use the discriminant to determine whether the quadratic equation has two unequal real​ solutions, a repeated real​ solution, or no real solution without solving the equation.
x squared plus 6 x minus 16 equals 0x2+6x−16=0
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Not clear.

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
The formula for the quadratic polynomial is not identical to the word description.



Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


x%5E2%2B6x-16+=+0

a=1; b=6, c=-16

b%5E2-4ac+=+6%5E2-4%281%29%28-16%29+=+36%2B64+=+100

The discriminant is positive; the equation has two unequal real solutions.

(Note, furthermore, that since the discriminant is a perfect square, the real solutions are rational numbers.)