حل مسائل x، y، z (complex solution)
\left\{\begin{matrix}x=\frac{\sqrt{-2c\sqrt{16-c^{2}}+16}}{2}\text{, }y=\frac{\sqrt{16-c^{2}}+c}{2}\text{, }z=c\text{, }&a=b\text{ and }c=b\text{ and }arg(\frac{-\sqrt{16-b^{2}}+b}{2})<\pi \\x=\frac{\sqrt{2c\sqrt{16-c^{2}}+16}}{2}\text{, }y=\frac{-\sqrt{16-c^{2}}+c}{2}\text{, }z=c\text{, }&\left(a=-2\sqrt{2}\text{ and }b=-2\sqrt{2}\text{ and }c=-2\sqrt{2}\right)\text{ or }\left(a=b\text{ and }c=b\text{ and }arg(\frac{\sqrt{16-b^{2}}+b}{2})<\pi \right)\\x=-\frac{\sqrt{-2c\sqrt{16-c^{2}}+16}}{2}\text{, }y=\frac{\sqrt{16-c^{2}}+c}{2}\text{, }z=c\text{, }&a=b\text{ and }c=b\text{ and }arg(\frac{\sqrt{16-b^{2}}-b}{2})<\pi \\x=-\frac{\sqrt{2c\sqrt{16-c^{2}}+16}}{2}\text{, }y=\frac{-\sqrt{16-c^{2}}+c}{2}\text{, }z=c\text{, }&\left(a=-2\sqrt{2}\text{ and }b=-2\sqrt{2}\text{ and }c=-2\sqrt{2}\right)\text{ or }\left(a=b\text{ and }c=b\text{ and }arg(\frac{-\sqrt{16-b^{2}}-b}{2})<\pi \right)\\x=0\text{, }y=2\sqrt{2}\approx 2.828427125\text{, }z=2\sqrt{2}\approx 2.828427125\text{, }&b=2\sqrt{2}\text{ and }c=2\sqrt{2}\text{ and }a=2\sqrt{2}\end{matrix}\right.
حل مسائل x، y، z
\left\{\begin{matrix}x=-\frac{\sqrt{2\left(-b\sqrt{16-b^{2}}+8\right)}}{2}\text{, }y=\frac{\sqrt{16-b^{2}}+b}{2}\text{, }z=b\text{, }&c=b\text{ and }a=b\text{ and }b\leq 2\sqrt{2}\text{ and }|b|\leq 4\\x=-\frac{\sqrt{2\left(b\sqrt{16-b^{2}}+8\right)}}{2}\text{, }y=\frac{-\sqrt{16-b^{2}}+b}{2}\text{, }z=b\text{, }&c=b\text{ and }a=b\text{ and }b\geq -4\text{ and }b\leq -2\sqrt{2}\\x=\frac{\sqrt{2\left(-b\sqrt{16-b^{2}}+8\right)}}{2}\text{, }y=\frac{\sqrt{16-b^{2}}+b}{2}\text{, }z=b\text{, }&c=b\text{ and }a=b\text{ and }b\geq 2\sqrt{2}\text{ and }b\leq 4\\x=\frac{\sqrt{2\left(b\sqrt{16-b^{2}}+8\right)}}{2}\text{, }y=\frac{-\sqrt{16-b^{2}}+b}{2}\text{, }z=b\text{, }&c=b\text{ and }a=b\text{ and }b\geq -2\sqrt{2}\text{ and }|b|\leq 4\end{matrix}\right.
مشاركة
تم النسخ للحافظة
أمثلة
معادلة تربيعية
{ x } ^ { 2 } - 4 x - 5 = 0
حساب المثلثات
4 \sin \theta \cos \theta = 2 \sin \theta
معادلة خطية
y = 3x + 4
الحساب
699 * 533
المصفوفة
\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]
معادلة آنية
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
التفاضل
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
التكامل
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
النهايات
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}