Solve the quadratic equation using the method that seems most appropriate to you. $n + \frac { 6 } { n } = \frac { 29 } { 3 }$
A) $\left\{ - 9 , - \frac { 2 } { 3 } \right\}$
B) $\left\{ - 9 , \frac { 2 } { 3 } \right\}$
C) $\left\{ \frac { 2 } { 3 } , 9 \right\}$
D) $\left\{ - \frac { 2 } { 3 } , 9 \right\}$

Question

Quizplus · Accepted Answer

Rearranging the equation to the form $n^2-\frac{29}{3}n+6=0$, we can solve it using the quadratic formula:
$$n=\frac{-(-\frac{29}{3})\pm\sqrt{(-\frac{29}{3})^2-4(1)(6)}}{2(1)}=\frac{29\pm\sqrt{449}}{6}$$
Therefore, the solutions are approximately $2.304$ and $9.021$, which matches choice C.

Solve the Quadratic Equation Using the Method That Seems Most n+6n=293n + \frac { 6 } { n } = \frac { 29 } { 3 }n+n6​=329​

Solve the Quadratic Equation Using the Method That Seems Most $n + \frac { 6 } { n } = \frac { 29 } { 3 }$