Question

The roots of the equation $x^2-3x-10=0$ are

• A. Roots are $1$ and $3$.
• B. Roots are $-2$ and $5$.
• C. Roots are $-8$ and $2$.
• D. Roots are $4$ and $3$.

Answer 1

The correct option is B Roots are $-2$ and $5$.

The equation $x^2-3x-10=0$ can be solved as
$x^2-5x+2x-10=0$
$\Rightarrow x(x-5)+2(x-5)=0$
$\Rightarrow (x+2)(x-5)=0$
$\Rightarrow x=-2$ and $x=5$

Hence, option B is correct.