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√(8x-6)=√(3x+5) equation

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Numerical solution:

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The solution

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  _________     _________
\/ 8*x - 6  = \/ 3*x + 5
8x−6=3x+5\sqrt{8 x - 6} = \sqrt{3 x + 5}
Simplify
Detail solution
Given the equation
8x−6=3x+5\sqrt{8 x - 6} = \sqrt{3 x + 5}
We raise the equation sides to 2-th degree
8x−6=3x+58 x - 6 = 3 x + 5
Move free summands (without x)
from left part to right part, we given:
8x=3x+118 x = 3 x + 11
Move the summands with the unknown x
from the right part to the left part:
5x=115 x = 11
Divide both parts of the equation by 5
x = 11 / (5)

We get the answer: x = 11/5
check:
x1=115x_{1} = \frac{11}{5}
−3x1+5+8x1−6=0- \sqrt{3 x_{1} + 5} + \sqrt{8 x_{1} - 6} = 0
=
−5+3⋅115+−6+8⋅115=0- \sqrt{5 + \frac{3 \cdot 11}{5}} + \sqrt{-6 + \frac{8 \cdot 11}{5}} = 0
=
0 = 0

- the identity
The final answer:
x1=115x_{1} = \frac{11}{5}
The graph
0123456789-1101112010
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 11/5
x1=115x_{1} = \frac{11}{5} 
x1 = 11/5
Sum and product of roots [src] 
sum
11/5
115\frac{11}{5} 
=
11/5
115\frac{11}{5} 
product
11/5
115\frac{11}{5} 
=
11/5
115\frac{11}{5} 
11/5
Numerical answer [src] 
x1 = 2.2
x1 = 2.2
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