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

4 - x^{2} = 2 - x

4 x + 5 + 1 = 4 x

17 - x = x + 3

71.3 = 82. 5^{2} + y^{2}

4 (x + 1)^{\frac{3}{2}} = 0

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