# Solve the equation graphically in the given interval. State each answer rounded to two decimals. displaystyle{x}^{{frac{1}{{3}}}}-{x}={0},{left[-{3},{3}right]} x = ?

Solve the equation graphically in the given interval. State each answer rounded to two decimals.
${x}^{\frac{1}{3}}-x=0,\left[-3,3\right]$
$x=?$
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To find: Solve for x in the interval $\left[-3,3\right]$ graphically,
${x}^{\frac{1}{3}}-x=0$
$⇒{x}^{\frac{1}{3}}=x$
In order to solve graphically, we plot say and find the points where the two graphs intersect.

From the graph it is clear that the graphs intersect at three points. That is, which are the solution for the given equation.
Hence, solution set is $\left\{-1,0,1\right\}.$