What is the answer to sqrt(3x-5)-sqrt(x+7)=2 ?

The answer to sqrt(3x-5)-sqrt(x+7)=2 is x=18

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sqrt(3x-5)-sqrt(x+7)=2

3 x - 5 - x + 7 = 2

x = 18

Solution steps

3 x - 5 - x + 7 = 2

Remove square roots

4 x^{2} - 64 x + 256 = 16 x + 112

Solve

4 x^{2} - 64 x + 256 = 16 x + 112 : x = 18, x = 2

x = 18, x = 2

Verify Solutions:

x = 18

True

, x = 2

False

The solution is

x = 18

x = x - 6

2 x + 7 = x - 4

x = 12

10 - 3 x = x

What is the answer to sqrt(3x-5)-sqrt(x+7)=2 ?
The answer to sqrt(3x-5)-sqrt(x+7)=2 is x=18
Solve for x: sqrt(3x-5)-sqrt(x+7)=2
The solution is x=18