What is the answer to 1/(x^2)+5/x =7 ?

The answer to 1/(x^2)+5/x =7 is x=(5+sqrt(53))/(14),x=(5-sqrt(53))/(14)

Solve for x: 1/(x^2)+5/x =7

The solution is x=(5+sqrt(53))/(14),x=(5-sqrt(53))/(14)

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\frac{1}{x ^{2}} + \frac{5}{x} = 7

x = \frac{5 + 53}{14}, x = \frac{5 - 53}{14}

Decimal Notation

x = 0.87715 \dots, x = - 0.16286 \dots

Solution steps

\frac{1}{x ^{2}} + \frac{5}{x} = 7

Multiply by LCM

1 + 5 x = 7 x^{2}

Solve

1 + 5 x = 7 x^{2} : x = \frac{5 + 53}{14}, x = \frac{5 - 53}{14}

x = \frac{5 + 53}{14}, x = \frac{5 - 53}{14}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5 + 53}{14}, x = \frac{5 - 53}{14}

\frac{10}{x} + \frac{3}{x - 6} = 1

\frac{1}{4 x} - \frac{1}{4} = \frac{1}{2}

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

x + \frac{8}{x} = 9

\frac{9}{3 x} = \frac{- 6}{2}

What is the answer to 1/(x^2)+5/x =7 ?
The answer to 1/(x^2)+5/x =7 is x=(5+sqrt(53))/(14),x=(5-sqrt(53))/(14)
Solve for x: 1/(x^2)+5/x =7
The solution is x=(5+sqrt(53))/(14),x=(5-sqrt(53))/(14)