x uchun yechish (complex solution)
x=-\frac{3}{2y^{2}-1}
y\neq -\frac{\sqrt{2}}{2}\text{ and }y\neq \frac{\sqrt{2}}{2}
x uchun yechish
x=-\frac{3}{2y^{2}-1}
|y|\neq \frac{\sqrt{2}}{2}
y uchun yechish (complex solution)
y=-\frac{\sqrt{2-\frac{6}{x}}}{2}
y=\frac{\sqrt{2-\frac{6}{x}}}{2}\text{, }x\neq 0
y uchun yechish
y=\frac{\sqrt{2-\frac{6}{x}}}{2}
y=-\frac{\sqrt{2-\frac{6}{x}}}{2}\text{, }x\geq 3\text{ or }x<0
Grafik
Baham ko'rish
Klipbordga nusxa olish
2xy^{2}-x=-3
Ikkala tarafdan x ni ayirish.
\left(2y^{2}-1\right)x=-3
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(2y^{2}-1\right)x}{2y^{2}-1}=-\frac{3}{2y^{2}-1}
Ikki tarafini 2y^{2}-1 ga bo‘ling.
x=-\frac{3}{2y^{2}-1}
2y^{2}-1 ga bo'lish 2y^{2}-1 ga ko'paytirishni bekor qiladi.
2xy^{2}-x=-3
Ikkala tarafdan x ni ayirish.
\left(2y^{2}-1\right)x=-3
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(2y^{2}-1\right)x}{2y^{2}-1}=-\frac{3}{2y^{2}-1}
Ikki tarafini 2y^{2}-1 ga bo‘ling.
x=-\frac{3}{2y^{2}-1}
2y^{2}-1 ga bo'lish 2y^{2}-1 ga ko'paytirishni bekor qiladi.
Misollar
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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Oʻngga
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Chegaralar
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