What is the answer to (7x-9)/2 = 3/(2x) ?

The answer to (7x-9)/2 = 3/(2x) is x=(9+sqrt(165))/(14),x=(9-sqrt(165))/(14)

Solve for x: (7x-9)/2 = 3/(2x)

The solution is x=(9+sqrt(165))/(14),x=(9-sqrt(165))/(14)

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\frac{7 x - 9}{2} = \frac{3}{2 x}

x = \frac{9 + 165}{14}, x = \frac{9 - 165}{14}

Decimal Notation

x = 1.56037 \dots, x = - 0.27465 \dots

Solution steps

\frac{7 x - 9}{2} = \frac{3}{2 x}

Cross multiply

(7 x - 9) \cdot 2 x = 6

Solve

(7 x - 9) \cdot 2 x = 6 : x = \frac{9 + 165}{14}, x = \frac{9 - 165}{14}

x = \frac{9 + 165}{14}, x = \frac{9 - 165}{14}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9 + 165}{14}, x = \frac{9 - 165}{14}

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

\frac{y}{7 y - 4 + 3 y + 6} = 9 y + 8

\frac{5}{6} = r - \frac{6}{r} 3

- 4 (2 - x)^{- 2} = 0

\frac{x}{x + 1} = \frac{8}{7}

What is the answer to (7x-9)/2 = 3/(2x) ?
The answer to (7x-9)/2 = 3/(2x) is x=(9+sqrt(165))/(14),x=(9-sqrt(165))/(14)
Solve for x: (7x-9)/2 = 3/(2x)
The solution is x=(9+sqrt(165))/(14),x=(9-sqrt(165))/(14)