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

The answer to sqrt(3x+1)-sqrt(x-4)=3 is x=8,x=5

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

3 x + 1 - x - 4 = 3

x = 8, x = 5

Solution steps

3 x + 1 - x - 4 = 3

Remove square roots

4 x^{2} - 16 x + 16 = 36 x - 144

Solve

4 x^{2} - 16 x + 16 = 36 x - 144 : x = 8, x = 5

x = 8, x = 5

Verify Solutions:

x = 8

True

, x = 5

True

The solutions are

x = 8, x = 5

4 x = 2

x + 37 - 9 x = 5

1 - x = x + 1

x - 25 - x^{2} = 1

2 x + 11 + 1 = 5 x + 1

What is the answer to sqrt(3x+1)-sqrt(x-4)=3 ?
The answer to sqrt(3x+1)-sqrt(x-4)=3 is x=8,x=5
Solve for x: sqrt(3x+1)-sqrt(x-4)=3
The solution is x=8,x=5