a uchun yechish (complex solution)
\left\{\begin{matrix}a=-\frac{x^{2}-3x-y-4}{x+1}\text{, }&x\neq -1\\a\in \mathrm{C}\text{, }&y=0\text{ and }x=-1\end{matrix}\right,
a uchun yechish
\left\{\begin{matrix}a=-\frac{x^{2}-3x-y-4}{x+1}\text{, }&x\neq -1\\a\in \mathrm{R}\text{, }&y=0\text{ and }x=-1\end{matrix}\right,
x uchun yechish (complex solution)
x=\frac{\sqrt{4y+a^{2}-10a+25}-a+3}{2}
x=\frac{-\sqrt{4y+a^{2}-10a+25}-a+3}{2}
x uchun yechish
x=\frac{\sqrt{4y+a^{2}-10a+25}-a+3}{2}
x=\frac{-\sqrt{4y+a^{2}-10a+25}-a+3}{2}\text{, }y\geq -\frac{\left(a-5\right)^{2}}{4}
Grafik
Baham ko'rish
Klipbordga nusxa olish
y=x^{2}+ax-3x+a-4
a-3 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+ax-3x+a-4=y
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
ax-3x+a-4=y-x^{2}
Ikkala tarafdan x^{2} ni ayirish.
ax+a-4=y-x^{2}+3x
3x ni ikki tarafga qo’shing.
ax+a=y-x^{2}+3x+4
4 ni ikki tarafga qo’shing.
\left(x+1\right)a=y-x^{2}+3x+4
a'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(x+1\right)a=4+y+3x-x^{2}
Tenglama standart shaklda.
\frac{\left(x+1\right)a}{x+1}=\frac{4+y+3x-x^{2}}{x+1}
Ikki tarafini x+1 ga bo‘ling.
a=\frac{4+y+3x-x^{2}}{x+1}
x+1 ga bo'lish x+1 ga ko'paytirishni bekor qiladi.
y=x^{2}+ax-3x+a-4
a-3 ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x^{2}+ax-3x+a-4=y
Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.
ax-3x+a-4=y-x^{2}
Ikkala tarafdan x^{2} ni ayirish.
ax+a-4=y-x^{2}+3x
3x ni ikki tarafga qo’shing.
ax+a=y-x^{2}+3x+4
4 ni ikki tarafga qo’shing.
\left(x+1\right)a=y-x^{2}+3x+4
a'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(x+1\right)a=4+y+3x-x^{2}
Tenglama standart shaklda.
\frac{\left(x+1\right)a}{x+1}=\frac{4+y+3x-x^{2}}{x+1}
Ikki tarafini x+1 ga bo‘ling.
a=\frac{4+y+3x-x^{2}}{x+1}
x+1 ga bo'lish x+1 ga ko'paytirishni bekor qiladi.
Misollar
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}