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cosx/3=sqrt(x-1) equation

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Numerical solution:

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The solution

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cos(x)     _______
------ = \/ x - 1 
  3               
$$\frac{\cos{\left(x \right)}}{3} = \sqrt{x - 1}$$
The graph
Numerical answer [src]
x1 = 1.02949796767987
x2 = 6.03820455827582 + 2.65731089324265*i
x2 = 6.03820455827582 + 2.65731089324265*i