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

1, 3

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–1, 3

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–1, –3

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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.
$S u m o f r o o t s = 2 = - \frac{b}{a}$
Vidya made a mistake only in coefficient of $x$
So the product of roots was correct.
Thus,
$P r o d u c t o f r o o t s = - 3 = \frac{c}{a}$
Hence, the correct quadratic equation is $x^{2} - 2 x - 3 = 0$
The roots of the correct quadratic equation are $- 1, 3$ .

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