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

Answer 1

Answer: (A), (D)

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.
$Sumofroots=2=-\frac{b}{a}$
Vidya made a mistake only in coefficient of $x$.
So the product of roots was correct.
Thus,
$Productofroots=-3=\frac{c}{a}$
Hence, the correct quadratic equation is $x^2–2x-3=0$.
The roots of the correct quadratic equation are $-1,3$.