What is the answer to 1/(2x)+x/3 =7 ?

The answer to 1/(2x)+x/3 =7 is x=(21+sqrt(435))/2 ,x=(21-sqrt(435))/2

Solve for x: 1/(2x)+x/3 =7

The solution is x=(21+sqrt(435))/2 ,x=(21-sqrt(435))/2

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\frac{1}{2 x} + \frac{x}{3} = 7

x = \frac{21 + 435}{2}, x = \frac{21 - 435}{2}

Decimal Notation

x = 20.92832 \dots, x = 0.07167 \dots

Solution steps

\frac{1}{2 x} + \frac{x}{3} = 7

Multiply by LCM

3 + 2 x^{2} = 42 x

Solve

3 + 2 x^{2} = 42 x : x = \frac{21 + 435}{2}, x = \frac{21 - 435}{2}

x = \frac{21 + 435}{2}, x = \frac{21 - 435}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{21 + 435}{2}, x = \frac{21 - 435}{2}

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

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

x^{- 2} + 5 x^{- 1} - 6 = 0

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

\frac{10}{m} - \frac{10}{m + 5} = 1

What is the answer to 1/(2x)+x/3 =7 ?
The answer to 1/(2x)+x/3 =7 is x=(21+sqrt(435))/2 ,x=(21-sqrt(435))/2
Solve for x: 1/(2x)+x/3 =7
The solution is x=(21+sqrt(435))/2 ,x=(21-sqrt(435))/2