Question

In the Maths test two representatives, while solving a quadratic equation, committed the following mistakes:
(i) One of them made a mistake in the constant term and got the roots as $5$ and $9$.
(ii) Another one committed an error in the coefficient of x and got the roots as $12$ and $4$.
But in the meantime, they realised that they are wrong and they managed to get right jointly. Find the correct quadratic equation.

• A. $x^2+4x+14=0$
• B. $2x^2+7x-24=0$
• C. $x^2-14x+48=0$
• D. $3x^2-17x+52=0$

Answer 1

The correct option is C $x^2-14x+48=0$

when made error in constant term but sum of roots is 14

when made error in coefficient of $x$ product of roots is 48

Hence from options option C gives required product and sum

Hence Option C is correct