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

The answer to x+sqrt(x+1)=3 is x=(7-sqrt(17))/2

Solve for x: x+sqrt(x+1)=3

The solution is x=(7-sqrt(17))/2

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x + x + 1 = 3

x = \frac{7 - 17}{2}

Decimal Notation

x = 1.43844 \dots

Solution steps

x + x + 1 = 3

Remove square roots

x + 1 = 9 - 6 x + x^{2}

Solve

x + 1 = 9 - 6 x + x^{2} : x = \frac{7 + 17}{2}, x = \frac{7 - 17}{2}

x = \frac{7 + 17}{2}, x = \frac{7 - 17}{2}

Verify Solutions:

x = \frac{7 + 17}{2}

False

, x = \frac{7 - 17}{2}

True

The solution is

x = \frac{7 - 17}{2}

x + x + 1 = 1

x + 4 - x = 1

x + 3 = 8

x + 47 = x + 5

12.56 = 2 π \frac{l}{32}

What is the answer to x+sqrt(x+1)=3 ?
The answer to x+sqrt(x+1)=3 is x=(7-sqrt(17))/2
Solve for x: x+sqrt(x+1)=3
The solution is x=(7-sqrt(17))/2