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

The answer to sqrt(3x-2)-sqrt(x+3)=1 is x=6

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

3 x - 2 - x + 3 = 1

x = 6

Solution steps

3 x - 2 - x + 3 = 1

Remove square roots

4 x^{2} - 24 x + 36 = 4 x + 12

Solve

4 x^{2} - 24 x + 36 = 4 x + 12 : x = 6, x = 1

x = 6, x = 1

Verify Solutions:

x = 6

True

, x = 1

False

The solution is

x = 6

x + 5 - 1 = x - 2

x + \frac{4}{x} = 5

(x - 2)^{\frac{2}{3}} = 9

3 x - 2 - 8 = 8

2 x + 7 - x + 15 = 1

What is the answer to sqrt(3x-2)-sqrt(x+3)=1 ?
The answer to sqrt(3x-2)-sqrt(x+3)=1 is x=6
Solve for x: sqrt(3x-2)-sqrt(x+3)=1
The solution is x=6