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sqrt(x+7)(3x-2)=(3x-1)sqrt(x+2) equation

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Numerical solution:

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The solution

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  _______                         _______
\/ x + 7 *(3*x - 2) = (3*x - 1)*\/ x + 2 
$$\sqrt{x + 7} \left(3 x - 2\right) = \sqrt{x + 2} \left(3 x - 1\right)$$
The graph
Rapid solution [src]
            _____
     23   \/ 705 
x1 = -- + -------
     26      78  
$$x_{1} = \frac{\sqrt{705}}{78} + \frac{23}{26}$$
x1 = sqrt(705)/78 + 23/26
Sum and product of roots [src]
sum
       _____
23   \/ 705 
-- + -------
26      78  
$$\frac{\sqrt{705}}{78} + \frac{23}{26}$$
=
       _____
23   \/ 705 
-- + -------
26      78  
$$\frac{\sqrt{705}}{78} + \frac{23}{26}$$
product
       _____
23   \/ 705 
-- + -------
26      78  
$$\frac{\sqrt{705}}{78} + \frac{23}{26}$$
=
       _____
23   \/ 705 
-- + -------
26      78  
$$\frac{\sqrt{705}}{78} + \frac{23}{26}$$
23/26 + sqrt(705)/78
Numerical answer [src]
x1 = 1.22502353967569
x2 = 1.22502353967569 - 1.97632161579935e-19*i
x2 = 1.22502353967569 - 1.97632161579935e-19*i