What is the answer to sqrt(x-\sqrt{2x)-1}=0 ?

The answer to sqrt(x-\sqrt{2x)-1}=0 is x=2+sqrt(3)

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sqrt(x-\sqrt{2x)-1}=0

x - 2 x - 1 = 0

x = 2 + 3

Decimal Notation

x = 3.73205 \dots

Solution steps

x - 2 x - 1 = 0

Remove square roots

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

Solve

2 x = x^{2} - 2 x + 1 : x = 2 + 3, x = 2 - 3

x = 2 + 3, x = 2 - 3

Verify Solutions:

x = 2 + 3

True

, x = 2 - 3

False

The solution is

x = 2 + 3

a - 5 = 10

3 x^{2} + 2 = 0

7 x + 5 = x - 3

(x - 6)^{\frac{2}{5}} = 4

What is the answer to sqrt(x-\sqrt{2x)-1}=0 ?
The answer to sqrt(x-\sqrt{2x)-1}=0 is x=2+sqrt(3)
Solve for x: sqrt(x-\sqrt{2x)-1}=0
The solution is x=2+sqrt(3)