What is the answer to (x+x^2+x^3)+(1/x+1/((x^2))+1/((x^3)))=28 ?

The answer to (x+x^2+x^3)+(1/x+1/((x^2))+1/((x^3)))=28 is x\approx 0.38196…,x\approx 2.61803…

Solve for x: (x+x^2+x^3)+(1/x+1/((x^2))+1/((x^3)))=28

The solution is x\approx 0.38196…,x\approx 2.61803…

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(x + x^{2} + x^{3}) + (\frac{1}{x} + \frac{1}{( x ^{2} )} + \frac{1}{( x ^{3} )}) = 28

x \approx 0.38196 \dots, x \approx 2.61803 \dots

Solution steps

(x + x^{2} + x^{3}) + (\frac{1}{x} + \frac{1}{( x ^{2} )} + \frac{1}{( x ^{3} )}) = 28

Multiply by LCM

(x + x^{2} + x^{3}) x^{3} + x^{2} + x + 1 = 28 x^{3}

Solve

(x + x^{2} + x^{3}) x^{3} + x^{2} + x + 1 = 28 x^{3} : x \approx 0.38196 \dots, x \approx 2.61803 \dots

x \approx 0.38196 \dots, x \approx 2.61803 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 0.38196 \dots, x \approx 2.61803 \dots

270 = \frac{n}{2 [ 2 x ^{10} + ( n - 1 ) 5 ]}

\frac{7}{5 \cdot ( - 7 x ^{2} + 2 ) ^{2}} = \frac{5}{7}

\frac{2 x}{3 x + 6} = \frac{3}{2}

x, f = \frac{{ x }}{( 1 + { x } )}

\frac{1}{x} - \frac{1}{( x + b )} = \frac{1}{a} - \frac{1}{( a + b )}

What is the answer to (x+x^2+x^3)+(1/x+1/((x^2))+1/((x^3)))=28 ?
The answer to (x+x^2+x^3)+(1/x+1/((x^2))+1/((x^3)))=28 is x\approx 0.38196…,x\approx 2.61803…
Solve for x: (x+x^2+x^3)+(1/x+1/((x^2))+1/((x^3)))=28
The solution is x\approx 0.38196…,x\approx 2.61803…