Question

Solve the quadratic equation: $7x=\frac{64}{7x}$

Answer 1

The given quadratic equation $7x=\frac{64}{7x}$can be simplified as follows:

$7x=\frac{64}{7x}\Rightarrow (7x\times 7x)=64\Rightarrow 49x^2=64\Rightarrow x^2=\frac{64}{49}\Rightarrow x=\sqrt{\frac{64}{49}}\Rightarrow x=\sqrt{\frac{8^2}{7^2}}\Rightarrow x=\pm \frac{8}{7}$

Hence, $x=\pm \frac{8}{7}$.