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
- –4, –3
- 6, 1
- 4, 3
- –6, –1
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.