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 = ?

generals336 2020-10-27 Answered
Solve the equation graphically in the given interval. State each answer rounded to two decimals.
x13x=0,[3,3]
x=?
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Expert Answer

Dora
Answered 2020-10-28 Author has 98 answers

To find: Solve for x in the interval [3,3] graphically,
x13x=0
x13=x
In order to solve graphically, we plot say y=x13 and z=x and find the points where the two graphs intersect.
image
From the graph it is clear that the graphs intersect at three points. That is, x= 1, x=0 and x=1 which are the solution for the given equation.
Hence, solution set is {1,0,1}.

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