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sqrt(x^2+11*x-9)=sqrt(8*x)-5 equation

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Numerical solution:

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The solution

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   _______________              
  /  2                 _____    
\/  x  + 11*x - 9  = \/ 8*x  - 5
$$\sqrt{\left(x^{2} + 11 x\right) - 9} = \sqrt{8 x} - 5$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1