$x + \frac{2}{x} + \frac{4}{3} x = 11$

Answer

$x_{1} = \frac{33}{14} - \frac{921}{14} x_{2} = \frac{33}{14} + \frac{921}{14}$

Explanation

x + \frac{2}{x} + \frac{4}{3} x x \cdot 3 x + x \cdot 3 \cdot \frac{2}{x} + x \cdot 3 \frac{4}{3} x 3 x^{2} + 6 + 4 x^{2} 7 x^{2} + 6 7 x^{2} + 6 - 33 x 7 x^{2} - 33 x + 6 = 11 = x \cdot 3 \cdot 11 = 33 x = 33 x = 0 = 0 multiply ALL terms by x \cdot 3 . cancel out the denominators simplify left side move all terms to the left hand side simplify left side

$7 x^{2} - 33 x + 6 = 0$ is a quadratic equation.

You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.

This page was created using

Equations Solver

About the Author

Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

If you want to contact me, probably have some questions, write me using the contact form or email me on mathhelp@mathportal.org.

Send Me A Comment

Main Navigation

Online Math Calculators

x+x2​+34​x=11

x1​=1433​−14921​​​x2​=1433​+14921​​​

$x + \frac{2}{x} + \frac{4}{3} x = 11$

$x_{1} = \frac{33}{14} - \frac{921}{14} x_{2} = \frac{33}{14} + \frac{921}{14}$