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sqrt4(4x+5-x^2)-sqrt(4x-x^2-3)=1 equation

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Numerical solution:

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The solution

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              0.25      ______________    
/           2\         /        2         
\4*x + 5 - x /     - \/  4*x - x  - 3  = 1
$$\left(- x^{2} + \left(4 x + 5\right)\right)^{0.25} - \sqrt{\left(- x^{2} + 4 x\right) - 3} = 1$$
The graph
Sum and product of roots [src]
sum
1.29329141909695
$$1.29329141909695$$
=
1.29329141909695
$$1.29329141909695$$
product
1.29329141909695
$$1.29329141909695$$
=
1.29329141909695
$$1.29329141909695$$
1.29329141909695
Rapid solution [src]
x1 = 1.29329141909695
$$x_{1} = 1.29329141909695$$
x1 = 1.29329141909695
Numerical answer [src]
x1 = 1.29329141909695
x2 = 2.70670858090305
x2 = 2.70670858090305