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Question

Shriya and Vidya solved a quadratic equation. In solving it, Shriya made a mistake in the constant term and obtained the roots as 5, – 3 while Vidya made a mistake in the coefficient of x and obtained the roots as 1, –3. The correct roots of the equation are -


A

1, 3

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B

–1, 3

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C

–1, –3

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D

1, –1

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Solution

The correct option is B

–1, 3


Shriya made a mistake in constant term only,

Thus, the sum of the roots was correct.

So, Sum of roots = 2 = -ba

Vidya made a mistake only in coefficient of x, So product of roots was correct.

Thus product of roots = -3 = ca

Hence, the correct quadratic equation is - x22x3=0.

The roots of the correct quadratic equation are -1, 3.


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