What is the answer to x=sqrt(x+4) ?

The answer to x=sqrt(x+4) is x=(1+sqrt(17))/2

Solve for x: x=sqrt(x+4)

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

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Popular >

x = x + 4

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

Decimal Notation

x = 2.56155 \dots

Solution steps

x = x + 4

Square both sides:

x^{2} = x + 4

x^{2} = x + 4

Solve

x^{2} = x + 4 : 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^{\frac{1}{2}} - 3 = 0

x^{\frac{1}{2}} - 3 = 5

2 x + 5 + 4 = 0

y, x = y - 9

What is the answer to x=sqrt(x+4) ?
The answer to x=sqrt(x+4) is x=(1+sqrt(17))/2
Solve for x: x=sqrt(x+4)
The solution is x=(1+sqrt(17))/2