What is the answer to ((x^2+1}{(x^2)})-5(\frac{x+1)/x)+6=0 ?

The answer to ((x^2+1}{(x^2)})-5(\frac{x+1)/x)+6=0 is x=(5+sqrt(17))/4 ,x=(5-sqrt(17))/4

Solve for x: ((x^2+1}{(x^2)})-5(\frac{x+1)/x)+6=0

The solution is x=(5+sqrt(17))/4 ,x=(5-sqrt(17))/4

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(\frac{x ^{2} + 1}{( x ^{2} )}) - 5 (\frac{x + 1}{x}) + 6 = 0

x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

Decimal Notation

x = 2.28077 \dots, x = 0.21922 \dots

Solution steps

(\frac{x ^{2} + 1}{( x ^{2} )}) - 5 (\frac{x + 1}{x}) + 6 = 0

Multiply by LCM

7 x^{2} - 5 x (x + 1) + 1 = 0

Solve

7 x^{2} - 5 x (x + 1) + 1 = 0 : x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 17}{4}, x = \frac{5 - 17}{4}

1.87 = \frac{( 1 - 2 p ) ^{2}}{( ( 1 + p ) \cdot ( 2 p ) ^{2} )}

\frac{1}{3 + x} = \frac{5 + x}{6}

ln (9) = \frac{- 36 \cdot 1 0 ^{10}}{x}

\frac{y - 1}{3 y} = 4

x, a = \frac{( 2 x + f )}{( x - 2 f )}

What is the answer to ((x^2+1}{(x^2)})-5(\frac{x+1)/x)+6=0 ?
The answer to ((x^2+1}{(x^2)})-5(\frac{x+1)/x)+6=0 is x=(5+sqrt(17))/4 ,x=(5-sqrt(17))/4
Solve for x: ((x^2+1}{(x^2)})-5(\frac{x+1)/x)+6=0
The solution is x=(5+sqrt(17))/4 ,x=(5-sqrt(17))/4