What is the answer to sqrt(2x-5)-sqrt(x-2)=2 ?

The answer to sqrt(2x-5)-sqrt(x-2)=2 is x=27

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sqrt(2x-5)-sqrt(x-2)=2

2 x - 5 - x - 2 = 2

x = 27

Solution steps

2 x - 5 - x - 2 = 2

Remove square roots

x^{2} - 14 x + 49 = 16 x - 32

Solve

x^{2} - 14 x + 49 = 16 x - 32 : x = 27, x = 3

x = 27, x = 3

Verify Solutions:

x = 27

True

, x = 3

False

The solution is

x = 27

13 + x = x^{2} + 1

2 + 3 x - 2 = x

\frac{1}{2 x} = 0

2 x + 6 = x + 2

5 w - 27 w + 7 = 3 w - 1

What is the answer to sqrt(2x-5)-sqrt(x-2)=2 ?
The answer to sqrt(2x-5)-sqrt(x-2)=2 is x=27
Solve for x: sqrt(2x-5)-sqrt(x-2)=2
The solution is x=27