What is the answer to 4x+9=(18-1)/(2x) ?

The answer to 4x+9=(18-1)/(2x) is x=(-9+sqrt(217))/8 ,x=-(9+sqrt(217))/8

Solve for x: 4x+9=(18-1)/(2x)

The solution is x=(-9+sqrt(217))/8 ,x=-(9+sqrt(217))/8

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4 x + 9 = \frac{18 - 1}{2 x}

x = \frac{- 9 + 217}{8}, x = - \frac{9 + 217}{8}

Decimal Notation

x = 0.71636 \dots, x = - 2.96636 \dots

Solution steps

4 x + 9 = \frac{18 - 1}{2 x}

Simplify

\frac{18 - 1}{2 x} : \frac{17}{2 x}

4 x + 9 = \frac{17}{2 x}

Multiply both sides by

x

4 x^{2} + 9 x = \frac{17}{2}

Solve

4 x^{2} + 9 x = \frac{17}{2} : x = \frac{- 9 + 217}{8}, x = - \frac{9 + 217}{8}

x = \frac{- 9 + 217}{8}, x = - \frac{9 + 217}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 9 + 217}{8}, x = - \frac{9 + 217}{8}

\frac{27}{x} = \frac{20}{40}

A, Z = \frac{( B - Y )}{A}

\frac{19}{x} = 4 - \frac{1}{x}

\frac{1}{3} = \frac{2 x}{x ^{2} - 1}

y = \frac{1}{y ^{2}}

What is the answer to 4x+9=(18-1)/(2x) ?
The answer to 4x+9=(18-1)/(2x) is x=(-9+sqrt(217))/8 ,x=-(9+sqrt(217))/8
Solve for x: 4x+9=(18-1)/(2x)
The solution is x=(-9+sqrt(217))/8 ,x=-(9+sqrt(217))/8