Question

The roots of a quadratic equation are 5 and –2. The equation is -

• A. $x^2–3x+10=0$
• B. $x^2–3x–10=0$
• C. $x^2+3x+10=0$
• D. $x^2+3x–10=0$

Answer 1

The correct option is B

$x^2–3x–10=0$

Any quadratic equation can be expressed in the form of product of its factors.
The required equation with the roots 5 and –2 is formed as
$(x-5)(x+2)=0$

$\Rightarrow$ $x^2+2x–5x-10=0$

$\Rightarrow$ $x^2-3x-10=0$
Therefore the required equation is $x^2-3x-10=0$