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sqrt(2x^2+21x-11)-sqrt(2x^2-9x+4)=sqrt(18*x-9) equation

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Numerical solution:

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The solution

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\/  2*x  + 21*x - 11  - \/  2*x  - 9*x + 4  = \/ 18*x - 9 
$$- \sqrt{\left(2 x^{2} - 9 x\right) + 4} + \sqrt{\left(2 x^{2} + 21 x\right) - 11} = \sqrt{18 x - 9}$$
The graph
Sum and product of roots [src]
sum
1/2 + 5
$$\frac{1}{2} + 5$$
=
11/2
$$\frac{11}{2}$$
product
5
-
2
$$\frac{5}{2}$$
=
5/2
$$\frac{5}{2}$$
5/2
Rapid solution [src]
x1 = 1/2
$$x_{1} = \frac{1}{2}$$
x2 = 5
$$x_{2} = 5$$
x2 = 5
Numerical answer [src]
x1 = 0.5
x2 = 5.0
x2 = 5.0