What is the answer to x= 1/x+4 ?

The answer to x= 1/x+4 is x=2+sqrt(5),x=2-sqrt(5)

Solve for x: x= 1/x+4

The solution is x=2+sqrt(5),x=2-sqrt(5)

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x = \frac{1}{x} + 4

x = 2 + 5, x = 2 - 5

Decimal Notation

x = 4.23606 \dots, x = - 0.23606 \dots

Solution steps

x = \frac{1}{x} + 4

Multiply both sides by

x

x^{2} = 1 + 4 x

Solve

x^{2} = 1 + 4 x : x = 2 + 5, x = 2 - 5

x = 2 + 5, x = 2 - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2 + 5, x = 2 - 5

1 + \frac{4}{y} = \frac{11}{12 y}

x, y = \frac{1}{x - 3}

\frac{5}{12} = \frac{5 x - 9}{x}

2.5 = \frac{x}{1 - x}

\frac{4}{3 + x} = 0

What is the answer to x= 1/x+4 ?
The answer to x= 1/x+4 is x=2+sqrt(5),x=2-sqrt(5)
Solve for x: x= 1/x+4
The solution is x=2+sqrt(5),x=2-sqrt(5)