What is the answer to x+5=(14-1)/(2x) ?

The answer to x+5=(14-1)/(2x) is x=(-5+sqrt(51))/2 ,x=-(5+sqrt(51))/2

Solve for x: x+5=(14-1)/(2x)

The solution is x=(-5+sqrt(51))/2 ,x=-(5+sqrt(51))/2

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x + 5 = \frac{14 - 1}{2 x}

x = \frac{- 5 + 51}{2}, x = - \frac{5 + 51}{2}

Decimal Notation

x = 1.07071 \dots, x = - 6.07071 \dots

Solution steps

x + 5 = \frac{14 - 1}{2 x}

Simplify

\frac{14 - 1}{2 x} : \frac{13}{2 x}

x + 5 = \frac{13}{2 x}

Multiply both sides by

x

x^{2} + 5 x = \frac{13}{2}

Solve

x^{2} + 5 x = \frac{13}{2} : x = \frac{- 5 + 51}{2}, x = - \frac{5 + 51}{2}

x = \frac{- 5 + 51}{2}, x = - \frac{5 + 51}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 5 + 51}{2}, x = - \frac{5 + 51}{2}

\frac{6}{2 n - 5} = \frac{2}{n - 7}

\frac{5}{y + 3} - 2 = \frac{7}{y + 3}

2 + \frac{1}{x} = 3 + \frac{2}{x}

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

\frac{x ^{2} + 1}{x ^{2}} = 0

What is the answer to x+5=(14-1)/(2x) ?
The answer to x+5=(14-1)/(2x) is x=(-5+sqrt(51))/2 ,x=-(5+sqrt(51))/2
Solve for x: x+5=(14-1)/(2x)
The solution is x=(-5+sqrt(51))/2 ,x=-(5+sqrt(51))/2