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sqrt(x)^3-3=0

sqrt(x)^3-3=0 equation

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Numerical solution:

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The solution

You have entered [src] 
     3        
  ___         
\/ x   - 3 = 0
(x)3−3=0\left(\sqrt{x}\right)^{3} - 3 = 0
Simplify
Detail solution
Given the equation
(x)3−3=0\left(\sqrt{x}\right)^{3} - 3 = 0
Because equation degree is equal to = 3/2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 2/3-th degree:
We get:
((1x+0)32)23=323\left(\left(1 x + 0\right)^{\frac{3}{2}}\right)^{\frac{2}{3}} = 3^{\frac{2}{3}}
or
x=323x = 3^{\frac{2}{3}}
Expand brackets in the right part
x = 3^2/3

We get the answer: x = 3^(2/3)

The final answer:
x1=323x_{1} = 3^{\frac{2}{3}}
The graph
-10.0-7.5-5.0-2.50.02.55.07.510.012.515.017.5-5050
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
     2/3
0 + 3
0+3230 + 3^{\frac{2}{3}} 
=
 2/3
3
3233^{\frac{2}{3}} 
product
   2/3
1*3
1⋅3231 \cdot 3^{\frac{2}{3}} 
=
 2/3
3
3233^{\frac{2}{3}} 
3^(2/3)
Rapid solution [src] 
      2/3
x1 = 3
x1=323x_{1} = 3^{\frac{2}{3}}
Simplify
Numerical answer [src] 
x1 = 2.0800838230519
x1 = 2.0800838230519
The graph
sqrt(x)^3-3=0 equation
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