What is the answer to (x^2+1)/x =3 ?

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

Solve for x: (x^2+1)/x =3

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

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\frac{x ^{2} + 1}{x} = 3

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

Decimal

x = 2.61803 \dots, x = 0.38196 \dots

Solution steps

\frac{x ^{2} + 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{100 - x}{x - 91} = \frac{15}{3}

6 p - \frac{2}{p} = 1

\frac{1}{x ^{a}}

\frac{x + 6}{3 - x} = \frac{5 + 2 x}{7 x - 5}

\frac{2}{y ^{2} - 9} = \frac{5}{y ^{2} + 3 y}

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