SOLUTION: discriminant to determine the nature of the roots of x^2 + 2x + 5 = 0 discriminant to determine the nature of the roots of x^2 = 0 discriminant to determine the nature of the

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Question 834607: discriminant to determine the nature of the roots of x^2 + 2x + 5 = 0
discriminant to determine the nature of the roots of x^2 = 0
discriminant to determine the nature of the roots of x^2 - 4x + 4 = 0
discriminant to determine the nature of the roots of -6x^2 - 12x + 90 = 0
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discriminant to determine the nature of the roots of x^2 – 3x + 3 = 0
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
The discriminant of a quadratic in the form , where a, b, c are reals, is .
If , the quadratic has two distinct real roots.
If , the quadratic has one real double root.
If , the quadratic has two distinct non-real roots.
==
For example, the discriminant of is . So the quadratic has two distinct non-real roots.
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