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
• B. –1, 3
• C. –1, –3
• D. 1, –1

Answer 1

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 = -$\frac{b}{a}$

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

Thus product of roots = -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.