What is the answer to sqrt(x+5)=x+1 ?

The answer to sqrt(x+5)=x+1 is x=(-1+sqrt(17))/2

Solve for x: sqrt(x+5)=x+1

The solution is x=(-1+sqrt(17))/2

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x + 5 = x + 1

x = \frac{- 1 + 17}{2}

Decimal Notation

x = 1.56155 \dots

Solution steps

x + 5 = x + 1

Square both sides:

x + 5 = x^{2} + 2 x + 1

x + 5 = x^{2} + 2 x + 1

Solve

x + 5 = x^{2} + 2 x + 1 : x = \frac{- 1 + 17}{2}, x = \frac{- 1 - 17}{2}

x = \frac{- 1 + 17}{2}, x = \frac{- 1 - 17}{2}

Verify Solutions:

x = \frac{- 1 + 17}{2}

True

, x = \frac{- 1 - 17}{2}

False

The solution is

x = \frac{- 1 + 17}{2}

x + 2 = 4 - x

2 x + 7 + 1 = 2 x + 14

x + 2 + 3 x + 10 = 2

m + 18 + 2 = m

5 x - 15 = 0

What is the answer to sqrt(x+5)=x+1 ?
The answer to sqrt(x+5)=x+1 is x=(-1+sqrt(17))/2
Solve for x: sqrt(x+5)=x+1
The solution is x=(-1+sqrt(17))/2