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Discriminant and Nature of the Roots
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ACT Prep
ACTM.108 Discriminant and Nature of the Roots
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A quadratic equation with rational coefficients has discriminant D = 3/4. Which conclusion is guaranteed?
A
The value of D is 3/4, indicating that the roots are two different real rational numbers.
B
D has value 3/4; the correct conclusion is that there are two distinct real irrational roots.
C
D = 9, so the equation has two unequal real rational solutions.
D
The discriminant is 0; therefore, the quadratic has exactly one repeated rational real zero.
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