What is the answer to sqrt(3x+6)-sqrt(x+3)=1 ?

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

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sqrt(3x+6)-sqrt(x+3)=1

3 x + 6 - x + 3 = 1

x = 1

Solution steps

3 x + 6 - x + 3 = 1

Remove square roots

4 x^{2} + 8 x + 4 = 4 x + 12

Solve

4 x^{2} + 8 x + 4 = 4 x + 12 : x = 1, x = - 2

x = 1, x = - 2

Verify Solutions:

x = 1

True

, x = - 2

False

The solution is

x = 1

x = x^{- \frac{1}{2}}

- x + 30 = x

3 - x = x + 7 + 2

12 + 1 - 5 x = 18

x - 7 = 16 x + 49

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