SOLUTION: Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)
-3x2 -5x =-2
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Quadratic Equations and Parabolas
-> SOLUTION: Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)
-3x2 -5x =-2
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Question 627764: Find the discriminant for each equation. Describe the roots.
Give D, then the number of rational, irrational or complex roots. ( ex: 36, 2 rational)
-3x2 -5x =-2 Answer by solver91311(24713) (Show Source):
For any quadratic polynomial equation of the form:
If your equation is not in standard form, fix it before you start.
Find the Discriminant, and evaluate the nature of the roots as follows:
No calculation quick look: If the signs on and are opposite, then guaranteed.
Two real and unequal roots. If is a perfect square, the quadratic factors over (the rationals).
One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors. Presuming rational coefficients, the root will be rational as well.
A conjugate pair of complex roots of the form where is the imaginary number defined by
John
My calculator said it, I believe it, that settles it
