What is the answer to sqrt(2x)-sqrt(x-1)=3 ?

The answer to sqrt(2x)-sqrt(x-1)=3 is x=50

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sqrt(2x)-sqrt(x-1)=3

2 x - x - 1 = 3

x = 50

Solution steps

2 x - x - 1 = 3

Remove square roots

x^{2} - 16 x + 64 = 36 x - 36

Solve

x^{2} - 16 x + 64 = 36 x - 36 : x = 50, x = 2

x = 50, x = 2

Verify Solutions:

x = 50

True

, x = 2

False

The solution is

x = 50

12 - x = x

y, x = y + y

2 x^{2} - 2 x + x^{2} - x = 3

2 x + 5 - x = 1

3 n = 2 n - 1

What is the answer to sqrt(2x)-sqrt(x-1)=3 ?
The answer to sqrt(2x)-sqrt(x-1)=3 is x=50
Solve for x: sqrt(2x)-sqrt(x-1)=3
The solution is x=50