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

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

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

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

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x + 1 + 3 = x

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

Decimal Notation

x = 5.56155 \dots

Solution steps

x + 1 + 3 = x

Remove square roots

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

Solve

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

True

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

False

The solution is

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

1 = x^{\frac{1}{3}}

(6 x)^{\frac{2}{3}} = 36

8 = 2 x - 3 + 3

4 + 2 x + 7 = x

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