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

The answer to x=4-1/x is x=2+sqrt(3),x=2-sqrt(3)

The solution is x=2+sqrt(3),x=2-sqrt(3)

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x=4-1/x

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

x = 2 + 3, x = 2 - 3

Decimal Notation

x = 3.73205 \dots, x = 0.26794 \dots

Solution steps

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

Multiply both sides by

x

x^{2} = 4 x - 1

Solve

x^{2} = 4 x - 1 : x = 2 + 3, x = 2 - 3

x = 2 + 3, x = 2 - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2 + 3, x = 2 - 3

x \frac{4}{x + 3} = \frac{6}{x + 3} + 2

F = \frac{G m ^{1} m ^{2}}{d ^{2}}

\frac{20}{5} = \frac{16}{n}

\frac{1}{a} = a

0.125 = \frac{b + 6}{b - 8}

What is the answer to x=4-1/x ?
The answer to x=4-1/x is x=2+sqrt(3),x=2-sqrt(3)
Solve for x: x=4-1/x
The solution is x=2+sqrt(3),x=2-sqrt(3)