operatorname{nh}x^2-2(4k-1)x+15k^2-2k-7>0-এর সমাধান করুন

$$\operatorname { nh } x ^ { 2 } - 2 ( 4 k - 1 ) x + 15 k ^ { 2 } - 2 k - 7 > 0$$

n এর জন্য সমাধান করুন

$$\left\{\begin{matrix}n>-\frac{-8kx+2x+15k^{2}-2k-7}{hx^{2}}\text{, }&h>0\text{ and }x\neq 0\\n\in \mathrm{R}\text{, }&\left(k>\frac{1}{4}\text{ and }x<-\frac{15k^{2}-2k-7}{2-8k}\right)\text{ or }\left(x>-\frac{15k^{2}-2k-7}{2-8k}\text{ and }k<\frac{1}{4}\right)\\n<-\frac{-8kx+2x+15k^{2}-2k-7}{hx^{2}}\text{, }&h<0\text{ and }x\neq 0\end{matrix}\right.$$