y=3x^2-75/2x^2-3x-9

$$y = \frac { 3 x ^ { 2 } - 75 } { 2 x ^ { 2 } - 3 x - 9 }$$

x üçün həll et (complex solution)

$$\left\{\begin{matrix}x=\frac{\sqrt{3}\left(\sqrt{27y^{2}-236y+300}+\sqrt{3}y\right)}{2\left(2y-3\right)}\text{; }x=\frac{\sqrt{3}\left(-\sqrt{27y^{2}-236y+300}+\sqrt{3}y\right)}{2\left(2y-3\right)}\text{, }&y\neq \frac{3}{2}\\x=\frac{41}{3}\approx 13,666666667\text{, }&y=\frac{3}{2}\end{matrix}\right,$$

y üçün həll et (complex solution)

$$y=-\frac{3\left(25-x^{2}\right)}{\left(x-3\right)\left(2x+3\right)}$$

$$x\neq -\frac{3}{2}\text{ and }x\neq 3$$

x üçün həll et

$$\left\{\begin{matrix}x=\frac{\sqrt{3}\left(\sqrt{27y^{2}-236y+300}+\sqrt{3}y\right)}{2\left(2y-3\right)}\text{; }x=\frac{\sqrt{3}\left(-\sqrt{27y^{2}-236y+300}+\sqrt{3}y\right)}{2\left(2y-3\right)}\text{, }&\left(y\neq \frac{3}{2}\text{ and }y\leq \frac{118-8\sqrt{91}}{27}\right)\text{ or }y\geq \frac{8\sqrt{91}+118}{27}\\x=\frac{41}{3}\approx 13,666666667\text{, }&y=\frac{3}{2}\end{matrix}\right,$$

y üçün həll et

$$y=-\frac{3\left(25-x^{2}\right)}{\left(x-3\right)\left(2x+3\right)}$$

$$x\neq 3\text{ and }x\neq -\frac{3}{2}$$