Question

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

• A. $-4,-3$
• B. $6,1$
• C. $4,3$
• D. $-6,-1$

Answer 1

The correct option is B $6,1$

Let the quadratic equation be $a{x}^2+bx+c$

Sachin made a mistake in writing down constant terms.

So, sum of the roots is correct.

$\alpha +\beta =7$

Rahul made a mistake in writing down the coefficient of x.

So, product of roots is correct.

$\alpha \times \beta =6$

Quadratic equation is

$x^2-x\left(Sumofroots\right)+productofroots=0$

$x^2-7x+6=0$

Roots are $6,1$