What is the answer to sqrt(3x+1)-sqrt(x+4)=1 ?

The answer to sqrt(3x+1)-sqrt(x+4)=1 is x=5

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sqrt(3x+1)-sqrt(x+4)=1

3 x + 1 - x + 4 = 1

x = 5

Solution steps

3 x + 1 - x + 4 = 1

Remove square roots

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

Solve

4 x^{2} - 16 x + 16 = 4 x + 16 : x = 5, x = 0

x = 5, x = 0

Verify Solutions:

x = 5

True

, x = 0

False

The solution is

x = 5

2 x + 5 + 4 = x

x - 5 x + 6 = 0

2 x + x + 1 = 8

2 x + 3 - x + 1 = 1

2 x + 1 = 5

What is the answer to sqrt(3x+1)-sqrt(x+4)=1 ?
The answer to sqrt(3x+1)-sqrt(x+4)=1 is x=5
Solve for x: sqrt(3x+1)-sqrt(x+4)=1
The solution is x=5