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sqrt(3x+10)=5 equation

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Numerical solution:

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The solution

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  __________    
\/ 3*x + 10  = 5
3x+10=5\sqrt{3 x + 10} = 5
Simplify
Detail solution
Given the equation
3x+10=5\sqrt{3 x + 10} = 5
Because equation degree is equal to = 1/2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to 2-th degree:
We get:
(3x+10)2=52\left(\sqrt{3 x + 10}\right)^{2} = 5^{2}
or
3x+10=253 x + 10 = 25
Move free summands (without x)
from left part to right part, we given:
3x=153 x = 15
Divide both parts of the equation by 3
x = 15 / (3)

We get the answer: x = 5

The final answer:
x1=5x_{1} = 5
The graph
-7.5-5.0-2.50.02.55.07.522.510.012.515.017.520.0010
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
5
55 
=
5
55 
product
5
55 
=
5
55 
5
Rapid solution [src] 
x1 = 5
x1=5x_{1} = 5 
x1 = 5
Numerical answer [src] 
x1 = 5.0
x1 = 5.0
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