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. Which of the following are the correct roots of the equation?

A

1, 3

B

–1, 3

C

–1, –3

D

1, –1

Solution

## The correct options are A 1, 3 D 1, –1 Shriya made a mistake in constant term only, Thus, the sum of the roots was correct. Sum of roots=2=−ba Vidya made a mistake only in coefficient of x. So the product of roots was correct. Thus,  Product of roots=−3=ca Hence, the correct quadratic equation is x2–2x−3=0. The roots of the correct quadratic equation are  −1,3.

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