What is the answer to sqrt(2x-1)-sqrt(x-5)=3 ?

The answer to sqrt(2x-1)-sqrt(x-5)=3 is x=41,x=5

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sqrt(2x-1)-sqrt(x-5)=3

2 x - 1 - x - 5 = 3

x = 41, x = 5

Solution steps

2 x - 1 - x - 5 = 3

Remove square roots

x^{2} - 10 x + 25 = 36 x - 180

Solve

x^{2} - 10 x + 25 = 36 x - 180 : x = 41, x = 5

x = 41, x = 5

Verify Solutions:

x = 41

True

, x = 5

True

The solutions are

x = 41, x = 5

x = x - 2

x - x - 5 = 1

x + 1 - 2 x + 4 = 0

What is the answer to sqrt(2x-1)-sqrt(x-5)=3 ?
The answer to sqrt(2x-1)-sqrt(x-5)=3 is x=41,x=5
Solve for x: sqrt(2x-1)-sqrt(x-5)=3
The solution is x=41,x=5