Answer
$x$ = $±\frac{5}{2}$
Work Step by Step
Given equation is-
$16x^{4}$ = $625$
i.e. $16x^{4}-625$ = $0$
Algebraic Solution:
$16x^{4}$ = $625$
i.e. $x^{4}$ = $\frac{625}{16}$= $(±\frac{5}{2})^{4}$
i.e. $x$ = $±\frac{5}{2}$
Graphical Solution:
$16x^{4}-625$ = $0$
Now graphing $y$ = $16x^{4}-625$
We get $x-intercept$ as $+\frac{5}{2}$ and $-\frac{5}{2}$
i.e. $x$ = $±\frac{5}{2}$
