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(0.75*(-33)/(100-33x)^0.5)+(0.25*(-33)/(49-33x)^0.5)=0 equation

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Numerical solution:

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The solution

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  /3*(-33)\          /-33 \       
  |-------|          |----|       
  \   4   /          \ 4  /       
-------------- + ------------- = 0
  ____________     ___________    
\/ 100 - 33*x    \/ 49 - 33*x     
$$\frac{\left(-33\right) \frac{3}{4}}{\sqrt{100 - 33 x}} + \frac{\left(-33\right) \frac{1}{4}}{\sqrt{49 - 33 x}} = 0$$
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
1
$$1$$
=
1
$$1$$
1