Question

Solve: $9x^2=25$. The value of $|x|$ is $\frac{p}{q}$. Find $p+q$.

Answer 1

$\Rightarrow 9x^2=25\Rightarrow x^2=\frac{25}{9}\Rightarrow |x|=\frac{5}{3}$

$\frac{p}{q}=\frac{5}{3}\Rightarrow p=5,q=3$

$\therefore p+q=5+3=8$