What is the answer to X+1/X =3 ?

The answer to X+1/X =3 is X=(3+sqrt(5))/2 ,X=(3-sqrt(5))/2

Solve for X: X+1/X =3

The solution is X=(3+sqrt(5))/2 ,X=(3-sqrt(5))/2

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X + \frac{1}{X} = 3

X = \frac{3 + 5}{2}, X = \frac{3 - 5}{2}

Decimal Notation

X = 2.61803 \dots, X = 0.38196 \dots

Solution steps

X + \frac{1}{X} = 3

Multiply both sides by

X

X^{2} + 1 = 3 X

Solve

X^{2} + 1 = 3 X : X = \frac{3 + 5}{2}, X = \frac{3 - 5}{2}

X = \frac{3 + 5}{2}, X = \frac{3 - 5}{2}

Verify Solutions

Find undefined (singularity) points:

X = 0

Combine undefined points with solutions:

X = \frac{3 + 5}{2}, X = \frac{3 - 5}{2}

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

x, z = \frac{1}{x y}

- 18 x + 36 = \frac{16 x - 12}{x + 18}

\frac{4}{h} = \frac{8}{10}

x (\frac{2}{3 x - 15}) = 180

What is the answer to X+1/X =3 ?
The answer to X+1/X =3 is X=(3+sqrt(5))/2 ,X=(3-sqrt(5))/2
Solve for X: X+1/X =3
The solution is X=(3+sqrt(5))/2 ,X=(3-sqrt(5))/2