What is the answer to sqrt(2x-6)-sqrt(x-4)=1 ?

The answer to sqrt(2x-6)-sqrt(x-4)=1 is x=5

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sqrt(2x-6)-sqrt(x-4)=1

2 x - 6 - x - 4 = 1

x = 5

Solution steps

2 x - 6 - x - 4 = 1

Remove square roots

x^{2} - 6 x + 9 = 4 x - 16

Solve

x^{2} - 6 x + 9 = 4 x - 16 : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

x - 6 = 5

x - 6 = 7

x - 4 x + 12 = 0

c, a = b \cdot c

2 x = 3

What is the answer to sqrt(2x-6)-sqrt(x-4)=1 ?
The answer to sqrt(2x-6)-sqrt(x-4)=1 is x=5
Solve for x: sqrt(2x-6)-sqrt(x-4)=1
The solution is x=5