For the equation x2 + 5x – 1, which of the following statements is correct?

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For the equation x² + 5x – 1, which of the following statements is correct?

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The roots of the equation are equal

The discriminant is equal to zero

The roots of the equation are real, distinct and irrational

The discriminant of the equation is negative

answer is C.

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Detailed Solution

Roots are real. ∴ b² – 4ac ≥ 0
= 5² – 4(1)(1)
= 25 – 4 = 21, which is greater than 0.

Hence, the discriminant of the equation is greater than zero, so roots are real.

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