What is the answer to solvefor x,x+1/x =3 ?

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

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solvefor x,x+1/x =3

solve for

x, 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}

\frac{- 13}{4 x} = 39

\frac{1}{( s ^{2} + k ^{2} ) ^{2}} = 0

\frac{5 x - 4}{5 x - 4} = \frac{2}{3}

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

y \frac{1}{( y - 20 )} = a

What is the answer to solvefor x,x+1/x =3 ?
The answer to solvefor x,x+1/x =3 is x=(3+sqrt(5))/2 ,x=(3-sqrt(5))/2