What is the answer to sqrt(x+2-\sqrt{x-1)}=3 ?

The answer to sqrt(x+2-\sqrt{x-1)}=3 is x=10

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sqrt(x+2-\sqrt{x-1)}=3

x + 2 - x - 1 = 3

x = 10

Solution steps

x + 2 - x - 1 = 3

Remove square roots

x - 1 = x^{2} - 14 x + 49

Solve

x - 1 = x^{2} - 14 x + 49 : x = 10, x = 5

x = 10, x = 5

Verify Solutions:

x = 10

True

, x = 5

False

The solution is

x = 10

3 x + 13 = x - 5

15 + 2 x = x

x (x - 5) = 6

2 x - 7 = x + 2

2 x - 6 = x - 3

What is the answer to sqrt(x+2-\sqrt{x-1)}=3 ?
The answer to sqrt(x+2-\sqrt{x-1)}=3 is x=10
Solve for x: sqrt(x+2-\sqrt{x-1)}=3
The solution is x=10