p uchun yechish
\left\{\begin{matrix}\\p=\frac{1}{6}\approx 0,166666667\text{, }&\text{unconditionally}\\p\in \mathrm{R}\text{, }&q=0\end{matrix}\right,
q uchun yechish
\left\{\begin{matrix}\\q=0\text{, }&\text{unconditionally}\\q\in \mathrm{R}\text{, }&p=\frac{1}{6}\end{matrix}\right,
Baham ko'rish
Klipbordga nusxa olish
24pq=4q
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
24qp=4q
Tenglama standart shaklda.
\frac{24qp}{24q}=\frac{4q}{24q}
Ikki tarafini 24q ga bo‘ling.
p=\frac{4q}{24q}
24q ga bo'lish 24q ga ko'paytirishni bekor qiladi.
p=\frac{1}{6}
4q ni 24q ga bo'lish.
4q-24pq=0
Ikkala tarafdan 24pq ni ayirish.
\left(4-24p\right)q=0
q'ga ega bo'lgan barcha shartlarni birlashtirish.
q=0
0 ni 4-24p ga bo'lish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
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.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}