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.

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