What is the answer to 2/((3x-1))+3/((3x+1))= 5/3 x ?

The answer to 2/((3x-1))+3/((3x+1))= 5/3 x is x\approx 0.06019…,x\approx 1.02270…,x\approx-1.08290…

Solve for x: 2/((3x-1))+3/((3x+1))= 5/3 x

The solution is x\approx 0.06019…,x\approx 1.02270…,x\approx-1.08290…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{2}{( 3 x - 1 )} + \frac{3}{( 3 x + 1 )} = \frac{5}{3} x

x \approx 0.06019 \dots, x \approx 1.02270 \dots, x \approx - 1.08290 \dots

Solution steps

\frac{2}{( 3 x - 1 )} + \frac{3}{( 3 x + 1 )} = \frac{5}{3} x

Multiply by LCM

6 (3 x + 1) + 9 (3 x - 1) = 5 x (3 x - 1) (3 x + 1)

Solve

6 (3 x + 1) + 9 (3 x - 1) = 5 x (3 x - 1) (3 x + 1) : x \approx 0.06019 \dots, x \approx 1.02270 \dots, x \approx - 1.08290 \dots

x \approx 0.06019 \dots, x \approx 1.02270 \dots, x \approx - 1.08290 \dots

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x \approx 0.06019 \dots, x \approx 1.02270 \dots, x \approx - 1.08290 \dots

x + \frac{4}{x} - 4 + x - \frac{4}{x} + 4 = \frac{10}{3}

\frac{x}{( 1 - x )} + \frac{( 1 - x )}{x} = \frac{21}{6}

\frac{24}{3 a} = 4

y, x = \frac{28}{y}

0.1 = \frac{0.09}{y}

What is the answer to 2/((3x-1))+3/((3x+1))= 5/3 x ?
The answer to 2/((3x-1))+3/((3x+1))= 5/3 x is x\approx 0.06019…,x\approx 1.02270…,x\approx-1.08290…
Solve for x: 2/((3x-1))+3/((3x+1))= 5/3 x
The solution is x\approx 0.06019…,x\approx 1.02270…,x\approx-1.08290…