(k/3+a)(3-sqrt{3}a)=(k/3+4a)(3-2sqrt{3}a)=k সমাধান কৰক

$$( \frac { k } { 3 } + a ) ( 3 - \sqrt { 3 } a ) = ( \frac { k } { 3 } + 4 a ) ( 3 - 2 \sqrt { 3 } a ) = k$$

মূল্যায়ন (জটিল সমাধান)

$$\frac{\sqrt{3}\left(-a+\sqrt{3}\right)\left(3a+k\right)}{3}=\frac{\sqrt{3}\left(-2a+\sqrt{3}\right)\left(12a+k\right)}{3}\text{ and }\frac{\sqrt{3}\left(-2a+\sqrt{3}\right)\left(12a+k\right)}{3}=k$$

k-ৰ বাবে সমাধান কৰক

$$\left\{\begin{matrix}k=2\sqrt{3}\text{, }&a=\frac{\sqrt{3}}{3}\\k\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

a-ৰ বাবে সমাধান কৰক

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a=\frac{\sqrt{3}}{3}\text{, }&k=2\sqrt{3}\end{matrix}\right.$$