What is the answer to sqrt(3x+1)-sqrt(x+8)=1 ?

The answer to sqrt(3x+1)-sqrt(x+8)=1 is x=8

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sqrt(3x+1)-sqrt(x+8)=1

3 x + 1 - x + 8 = 1

x = 8

Solution steps

3 x + 1 - x + 8 = 1

Remove square roots

4 x^{2} - 32 x + 64 = 4 x + 32

Solve

4 x^{2} - 32 x + 64 = 4 x + 32 : x = 8, x = 1

x = 8, x = 1

Verify Solutions:

x = 8

True

, x = 1

False

The solution is

x = 8

57 - 3 x = x - 1

x - 7 - 10 = - 9

2 x = 3 x + 4

x - 3 = 2 x + 2 - 1

What is the answer to sqrt(3x+1)-sqrt(x+8)=1 ?
The answer to sqrt(3x+1)-sqrt(x+8)=1 is x=8
Solve for x: sqrt(3x+1)-sqrt(x+8)=1
The solution is x=8