What is the answer to sqrt(2x-6)=sqrt(2x-9)+1 ?

The answer to sqrt(2x-6)=sqrt(2x-9)+1 is x=5

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sqrt(2x-6)=sqrt(2x-9)+1

2 x - 6 = 2 x - 9 + 1

x = 5

Solution steps

2 x - 6 = 2 x - 9 + 1

Remove square roots

4 = 8 x - 36

Solve

4 = 8 x - 36 : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

2 5 x - 4 - 2 = 6

x^{- \frac{1}{2}} = \frac{5}{4}

x - 15 x + 56 = 0

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

What is the answer to sqrt(2x-6)=sqrt(2x-9)+1 ?
The answer to sqrt(2x-6)=sqrt(2x-9)+1 is x=5
Solve for x: sqrt(2x-6)=sqrt(2x-9)+1
The solution is x=5