SOLUTION: If the discriminat is negative, would this be a true statement? The discriminant is negative, so the quadratic has no real-valued zeroes and therefore no solution.

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Question 80192: If the discriminat is negative, would this be a true statement?
The discriminant is negative, so the quadratic has no real-valued zeroes and therefore no solution.

Found 2 solutions by vertciel, stanbon:
Answer by vertciel(183) About Me  (Show Source):
You can put this solution on YOUR website!
Hello there,
In quadratic equations, if the discriminant (Δ = b^2 - 4ac) is:
Δ > 0 - This quadratic will have 2 roots, otherwise known as x intercepts.
Δ = 0 - This quadratic will have a double root. That is, both roots will be the same, thus, you get the x co-ordinate of the vertex.
Δ < 0 - You will not get a real solution, but a complex solution. If you have not covered complex numbers yet, then just understand that there will be no x-intercepts since the quadratic does not touch the x axis.
Now, if your discriminant is negative, under which of the three cases will negative discriminants fall?
Be sure to write back if you need more help.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
No
it has no Real Number solutions; but it has two complex number solutions.
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Cheers,
Stan H.