Aman and Alok attempted to solve a quadratic equation. Aman made a mistake

• Quant Quadratic

Aman and Alok attempted to solve a quadratic equation. Aman made a mistake in writing down the constant term and ended up in roots (4, 3). Alok made a mistake in writing down the coefficient of x to get roots (3, 2). The correct roots of the equation are

1. -4, -3
2. 6, 1
3. 4, 3
4. -6, -1

Answer

Let the quadratic equation be ax² + bx + c = 0. Roots of the quadratic equation are p and q.

Aman made a mistake in the constant term and got the roots as 4 and 3, so he copied coefficient of x and x² correctly.

Sum of roots = -b/a = 4 + 3 = 7

Alok made a mistake in the coefficient of x and got the roots as 3 and 2, so he copied the constant term and the coefficient of x² correctly.

Product of roots = c/a = 3×2 = 6

p + q = 7

pq = 6

The correct roots are 6 and 1.

The correct option is B.