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

The answer to x=sqrt(x)+3 is x=(7+sqrt(13))/2

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

The solution is x=(7+sqrt(13))/2

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Popular >

x = x + 3

x = \frac{7 + 13}{2}

Decimal Notation

x = 5.30277 \dots

Solution steps

x = x + 3

Remove square roots

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

Solve

x^{2} - 6 x + 9 = x : x = \frac{7 + 13}{2}, x = \frac{7 - 13}{2}

x = \frac{7 + 13}{2}, x = \frac{7 - 13}{2}

Verify Solutions:

x = \frac{7 + 13}{2}

True

, x = \frac{7 - 13}{2}

False

The solution is

x = \frac{7 + 13}{2}

x - 7 - 4 = 0

x = 5 x + 6

x + 5 + x + 3 = 4

x - 6 + 2 x - 9 = 0

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

What is the answer to x=sqrt(x)+3 ?
The answer to x=sqrt(x)+3 is x=(7+sqrt(13))/2
Solve for x: x=sqrt(x)+3
The solution is x=(7+sqrt(13))/2