Lahendage ja leidke a (complex solution)
\left\{\begin{matrix}a=-\frac{-3xy+2x+y-z}{x^{2}}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&y=z\text{ and }x=0\end{matrix}\right,
Lahendage ja leidke a
\left\{\begin{matrix}a=-\frac{-3xy+2x+y-z}{x^{2}}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&y=z\text{ and }x=0\end{matrix}\right,
Lahendage ja leidke x (complex solution)
\left\{\begin{matrix}x=\frac{\sqrt{9y^{2}-4ay-12y+4az+4}+3y-2}{2a}\text{; }x=\frac{-\sqrt{9y^{2}-4ay-12y+4az+4}+3y-2}{2a}\text{, }&a\neq 0\\x=-\frac{y-z}{2-3y}\text{, }&a=0\text{ and }y\neq \frac{2}{3}\\x\in \mathrm{C}\text{, }&a=0\text{ and }y=\frac{2}{3}\text{ and }z=\frac{2}{3}\end{matrix}\right,
Lahendage ja leidke x
\left\{\begin{matrix}x=\frac{\sqrt{9y^{2}-4ay-12y+4az+4}+3y-2}{2a}\text{; }x=\frac{-\sqrt{9y^{2}-4ay-12y+4az+4}+3y-2}{2a}\text{, }&\left(y\neq \frac{2}{3}\text{ and }a=-\frac{\left(3y-2\right)^{2}}{4z-4y}\text{ and }y\neq z\right)\text{ or }\left(a\neq 0\text{ and }a\geq -\frac{\left(3y-2\right)^{2}}{4z-4y}\text{ and }y\leq z\right)\text{ or }\left(y=z\text{ and }a\neq 0\right)\text{ or }\left(a\neq 0\text{ and }y\geq z\text{ and }a\leq -\frac{\left(3y-2\right)^{2}}{4z-4y}\right)\\x=-\frac{y-z}{2-3y}\text{, }&y\neq \frac{2}{3}\text{ and }a=0\\x\in \mathrm{R}\text{, }&a=0\text{ and }y=\frac{2}{3}\text{ and }z=\frac{2}{3}\end{matrix}\right,
Jagama
Lõikelauale kopeeritud
ax^{2}+y-z=3xy-2x
Lahutage mõlemast poolest 2x.
ax^{2}-z=3xy-2x-y
Lahutage mõlemast poolest y.
ax^{2}=3xy-2x-y+z
Liitke z mõlemale poolele.
x^{2}a=3xy-2x-y+z
Võrrand on standardkujul.
\frac{x^{2}a}{x^{2}}=\frac{3xy-2x-y+z}{x^{2}}
Jagage mõlemad pooled x^{2}-ga.
a=\frac{3xy-2x-y+z}{x^{2}}
x^{2}-ga jagamine võtab x^{2}-ga korrutamise tagasi.
ax^{2}+y-z=3xy-2x
Lahutage mõlemast poolest 2x.
ax^{2}-z=3xy-2x-y
Lahutage mõlemast poolest y.
ax^{2}=3xy-2x-y+z
Liitke z mõlemale poolele.
x^{2}a=3xy-2x-y+z
Võrrand on standardkujul.
\frac{x^{2}a}{x^{2}}=\frac{3xy-2x-y+z}{x^{2}}
Jagage mõlemad pooled x^{2}-ga.
a=\frac{3xy-2x-y+z}{x^{2}}
x^{2}-ga jagamine võtab x^{2}-ga korrutamise tagasi.
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