Q.

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

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a

The roots of the equation are equal
 

b

The discriminant of the equation is negative
 

c

The roots of the equation are real, distinct and irrational
 

d

The discriminant is equal to zero

answer is C.

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Detailed Solution

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