q uchun yechish
q=-\frac{2x\left(3x+1\right)}{3x-1}
x\neq \frac{1}{3}
x uchun yechish (complex solution)
x=\frac{\sqrt{9q^{2}+36q+4}}{12}-\frac{q}{4}-\frac{1}{6}
x=-\frac{\sqrt{9q^{2}+36q+4}}{12}-\frac{q}{4}-\frac{1}{6}
x uchun yechish
x=\frac{\sqrt{9q^{2}+36q+4}}{12}-\frac{q}{4}-\frac{1}{6}
x=-\frac{\sqrt{9q^{2}+36q+4}}{12}-\frac{q}{4}-\frac{1}{6}\text{, }q\geq \frac{4\sqrt{2}}{3}-2\text{ or }q\leq -\frac{4\sqrt{2}}{3}-2
Grafik
Baham ko'rish
Klipbordga nusxa olish
2x+3qx-q=-6x^{2}
Ikkala tarafdan 6x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
3qx-q=-6x^{2}-2x
Ikkala tarafdan 2x ni ayirish.
\left(3x-1\right)q=-6x^{2}-2x
q'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(3x-1\right)q}{3x-1}=-\frac{2x\left(3x+1\right)}{3x-1}
Ikki tarafini 3x-1 ga bo‘ling.
q=-\frac{2x\left(3x+1\right)}{3x-1}
3x-1 ga bo'lish 3x-1 ga ko'paytirishni bekor qiladi.
Misollar
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