What is the answer to solvefor x,2x+1/(2x)=-3 ?

The answer to solvefor x,2x+1/(2x)=-3 is x=(-3+sqrt(5))/4 ,x=-(3+sqrt(5))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,2x+1/(2x)=-3

solve for

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

x = \frac{- 3 + 5}{4}, x = - \frac{3 + 5}{4}

Decimal Notation

x = - 0.19098 \dots, x = - 1.30901 \dots

Solution steps

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

Multiply both sides by

2 x

4 x^{2} + 1 = - 6 x

Solve

4 x^{2} + 1 = - 6 x : x = \frac{- 3 + 5}{4}, x = - \frac{3 + 5}{4}

x = \frac{- 3 + 5}{4}, x = - \frac{3 + 5}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 3 + 5}{4}, x = - \frac{3 + 5}{4}

\frac{100}{10 - 6 x} = - 104

- 3 = x + \frac{12}{x}

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

- 7 = - \frac{3}{x + 3}

9 = \frac{( 2 x ) ^{2}}{( 1 - x ) ( 1 - x )}

What is the answer to solvefor x,2x+1/(2x)=-3 ?
The answer to solvefor x,2x+1/(2x)=-3 is x=(-3+sqrt(5))/4 ,x=-(3+sqrt(5))/4