برای a حل کنید
\left\{\begin{matrix}a=-\frac{3\times \left(\frac{2}{9}\right)^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\left(-9\times 3^{b}+\sqrt{3\left(27\times 9^{b}-4b^{3}\right)}\right)^{-\frac{1}{3}}\left(3\left(-\sqrt{3}i-1\right)\times \left(\frac{-9\times 3^{b}+\sqrt{3\left(27\times 9^{b}-4b^{3}\right)}}{9}\right)^{\frac{2}{3}}+2\times 2^{\frac{2}{3}}b\right)}{8}\text{; }a=\frac{3\times \left(\frac{2}{9}\right)^{\frac{2}{3}}\left(-9\times 3^{b}+\sqrt{3\left(27\times 9^{b}-4b^{3}\right)}\right)^{-\frac{1}{3}}\left(3\times \left(\frac{-9\times 3^{b}+\sqrt{3\left(27\times 9^{b}-4b^{3}\right)}}{9}\right)^{\frac{2}{3}}+2^{\frac{2}{3}}b\right)}{2}\text{; }a=-\frac{3\times \left(\frac{2}{9}\right)^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\left(-9\times 3^{b}+\sqrt{3\left(27\times 9^{b}-4b^{3}\right)}\right)^{-\frac{1}{3}}\left(3\left(-1+\sqrt{3}i\right)\times \left(\frac{-9\times 3^{b}+\sqrt{3\left(27\times 9^{b}-4b^{3}\right)}}{9}\right)^{\frac{2}{3}}+2\times 2^{\frac{2}{3}}b\right)}{8}\text{, }&b\neq 0\\a=-1\text{; }a=e^{\frac{\pi i}{3}}\approx 0.5+0.866025404i\text{; }a=e^{\frac{5\pi i}{3}}\approx 0.5-0.866025404i\text{, }&b=0\end{matrix}\right.
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نمونه
معادله درجه دوم
{ x } ^ { 2 } - 4 x - 5 = 0
مثلثات
4 \sin \theta \cos \theta = 2 \sin \theta
معادله خطی
y = 3x + 4
حساب
699 * 533
ماتریس
\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]
معادله همزمان
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
تمایز
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ادغام
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محدودیت
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}