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

The answer to sqrt(2x-5)-sqrt(x-3)=1 is x=7,x=3

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

2 x - 5 - x - 3 = 1

x = 7, x = 3

Solution steps

2 x - 5 - x - 3 = 1

Remove square roots

x^{2} - 6 x + 9 = 4 x - 12

Solve

x^{2} - 6 x + 9 = 4 x - 12 : x = 7, x = 3

x = 7, x = 3

Verify Solutions:

x = 7

True

, x = 3

True

The solutions are

x = 7, x = 3

x + 1 = x + 9

x + 5 = 2

n = 4 + n - 4

2 x + 8 - x + 11 = - 1

5 - x + x + 3 = 0

What is the answer to sqrt(2x-5)-sqrt(x-3)=1 ?
The answer to sqrt(2x-5)-sqrt(x-3)=1 is x=7,x=3
Solve for x: sqrt(2x-5)-sqrt(x-3)=1
The solution is x=7,x=3