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

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

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

3 x + 3 = 1 + x + 2

x = 2

Solution steps

3 x + 3 = 1 + x + 2

Remove square roots

4 x^{2} = 4 x + 8

Solve

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

x = 2, x = - 1

Verify Solutions:

x = 2

True

, x = - 1

False

The solution is

x = 2

2 x - x - 1 = 3 x - 7

x^{\frac{2}{3}} = 4

2 x + 19 - 8 = x

x - 1 = x - 7

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