What is the answer to sqrt(x+6)=x+2 ?

The answer to sqrt(x+6)=x+2 is x=(-3+sqrt(17))/2

Solve for x: sqrt(x+6)=x+2

The solution is x=(-3+sqrt(17))/2

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x + 6 = x + 2

x = \frac{- 3 + 17}{2}

Solution steps

x + 6 = x + 2

Square both sides:

x + 6 = x^{2} + 4 x + 4

x + 6 = x^{2} + 4 x + 4

Solve

x + 6 = x^{2} + 4 x + 4 : x = \frac{- 3 + 17}{2}, x = \frac{- 3 - 17}{2}

x = \frac{- 3 + 17}{2}, x = \frac{- 3 - 17}{2}

Verify Solutions:

x = \frac{- 3 + 17}{2}

True

, x = \frac{- 3 - 17}{2}

False

The solution is

x = \frac{- 3 + 17}{2}

x - 3 - x = - 3

0 = - x - 3 + 5

2 x = 5 + 4 - x

x - 15 x + 50 = 0

x^{1.5} = 8

What is the answer to sqrt(x+6)=x+2 ?
The answer to sqrt(x+6)=x+2 is x=(-3+sqrt(17))/2
Solve for x: sqrt(x+6)=x+2
The solution is x=(-3+sqrt(17))/2