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sqrt3(x+25)=5 equation

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Numerical solution:

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The solution

You have entered [src]
        0.333333333333333    
(x + 25)                  = 5
$$\left(x + 25\right)^{0.333333333333333} = 5$$
Detail solution
Given the equation
$$\left(x + 25\right)^{0.333333333333333} = 5$$
Because equation degree is equal to = 0.333333333333333 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 3-th degree:
We get:
$$\left(\left(x + 25\right)^{0.333333333333333}\right)^{3} = 5^{3}$$
or
$$x + 25 = 125$$
Move free summands (without x)
from left part to right part, we given:
$$x = 100$$
We get the answer: x = 100

The final answer:
$$x_{1} = 100$$
The graph
Sum and product of roots [src]
sum
100.000000000000
$$100.0$$
=
100.000000000000
$$100.0$$
product
100.000000000000
$$100.0$$
=
100.000000000000
$$100.0$$
100.000000000000
Rapid solution [src]
x1 = 100.0
$$x_{1} = 100.0$$
x1 = 100.0
Numerical answer [src]
x1 = 100.0
x1 = 100.0