Answer
$x$ $\approx$ $2.61$
Work Step by Step
Given equation is-
$2x^{5}-243$ = $0$
Algebraic Solution:
$2x^{5}-243$ = $0$
i.e. $2x^{5}$ = $243$
i.e. $x^{5}$ = $\frac{243}{2}$
i.e. $x$ = $\sqrt[5] {\frac{243}{2}}$
Using calculator-
$x$ $=$ $2.6116516899$
$x$ $\approx$ $2.61$
Graphical Solution:
$2x^{5}-243$ = $0$
Now graphing $y$ = $2x^{5}-243$
We get $x-intercept$ as $2.61$
i.e. $x$ = $2.61$