Question

Find the incomplete quadratic equation in $x$, whose solution is $\pm \frac{5}{2}$.

• A. $\frac{25}{16}{x}^2+4x=0$
• B. $\frac{16}{25}{x}^2-4=0$
• C. $\frac{15}{25}{x}^2-4=0$
• D. $\frac{4}{2}{x}^2=0$

Answer 1

The correct option is B $\frac{16}{25}{x}^2-4=0$

The solution in the form of incomplete quadratic equation, $x=$ $\pm \frac{5}{2}$
Check the second option $\frac{16}{25}{x}^2-4=0$
$\frac{16}{25}{x}^2=4$
$x^2=4\times \frac{25}{16}$
$x^2=\frac{25}{4}$
Squaring on both the sides, we get
$x=\pm \frac{5}{2}$