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



Correct Answer
A

1, 3

Your Answer
B

–1, 3

Your Answer
C

–1, –3

Correct Answer
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 x22x3=0.
The roots of the correct quadratic equation are  1,3.

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