What is the answer to sqrt(x)=sqrt(3+\sqrt{x-1)} ?

The answer to sqrt(x)=sqrt(3+\sqrt{x-1)} is x=5

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sqrt(x)=sqrt(3+\sqrt{x-1)}

x = 3 + x - 1

x = 5

Solution steps

x = 3 + x - 1

Remove square roots

x^{2} - 6 x + 9 = x - 1

Solve

x^{2} - 6 x + 9 = x - 1 : x = 5, x = 2

x = 5, x = 2

Verify Solutions:

x = 5

True

, x = 2

False

The solution is

x = 5

2 x + 49 = 7 - 5 x

x^{3} - 5 x - 1 = 0

x = 0.5

4 - x + 1 + x = 3

v = 2 a x

What is the answer to sqrt(x)=sqrt(3+\sqrt{x-1)} ?
The answer to sqrt(x)=sqrt(3+\sqrt{x-1)} is x=5
Solve for x: sqrt(x)=sqrt(3+\sqrt{x-1)}
The solution is x=5