What is the answer to (x^2+1)/x =5 ?

The answer to (x^2+1)/x =5 is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2

Solve for x: (x^2+1)/x =5

The solution is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2

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\frac{x ^{2} + 1}{x} = 5

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

Decimal Notation

x = 4.79128 \dots, x = 0.20871 \dots

Solution steps

\frac{x ^{2} + 1}{x} = 5

Multiply both sides by

x

x^{2} + 1 = 5 x

Solve

x^{2} + 1 = 5 x : x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 21}{2}, x = \frac{5 - 21}{2}

∣ x - 2 ∣ = \frac{1}{3 x + 2}

\frac{( 2 x - 2 )}{( x ^{2} - 2 x )} = 2.4

\frac{( x ^{2} + 4 x )}{3 + ( \frac{84}{x ^{2}} + 4 x )} = 11

\frac{x}{( x + 10 )} = 0.94

\frac{1}{3 x ^{2} ( x - 3 ) + x ^{2}} = - 9

What is the answer to (x^2+1)/x =5 ?
The answer to (x^2+1)/x =5 is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2
Solve for x: (x^2+1)/x =5
The solution is x=(5+sqrt(21))/2 ,x=(5-sqrt(21))/2