Question

The product of the roots of the quadratic equation $2x^2+5x-7=0$ is

• A. $\frac{5}{2}$
• B. $-\frac{7}{2}$
• C. $-\frac{5}{2}$
• D. $\frac{7}{2}$

Answer 1

The correct option is B $-\frac{7}{2}$

Consider the given equation.

$2x^2+5x-7=0$

Therefore,

$x=\frac{-5\pm \sqrt{25+56}}{4}$

$x=\frac{-5\pm 9}{4}$

$x=-\frac{7}{2},1$

Therefore,

Product of the roots $=(-\frac{7}{2})\times \left(1\right)=-\frac{7}{2}$

Hence, this is the required result.