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

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

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

x + 1 - 2 x - 5 = 1

x = 3

Solution steps

x + 1 - 2 x - 5 = 1

Remove square roots

x^{2} - 10 x + 25 = 8 x - 20

Solve

x^{2} - 10 x + 25 = 8 x - 20 : x = 15, x = 3

x = 15, x = 3

Verify Solutions:

x = 15

False

, x = 3

True

The solution is

x = 3

2 x - 3 = 10 x - 1

x + 3 = x + 12

4 z - 1 = 25 z^{2} - 14 z + 2

8 y - 63 y = 8

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