Whakaoti mō a (complex solution)
\left\{\begin{matrix}a=-\frac{b}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Whakaoti mō b (complex solution)
\left\{\begin{matrix}\\b=-ax\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Whakaoti mō a
\left\{\begin{matrix}a=-\frac{b}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Whakaoti mō b
\left\{\begin{matrix}\\b=-ax\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Graph
Tohaina
Kua tāruatia ki te papatopenga
ax^{2}=-bx
Tangohia te bx mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.
x^{2}a=-bx
He hanga arowhānui tō te whārite.
\frac{x^{2}a}{x^{2}}=-\frac{bx}{x^{2}}
Whakawehea ngā taha e rua ki te x^{2}.
a=-\frac{bx}{x^{2}}
Mā te whakawehe ki te x^{2} ka wetekia te whakareanga ki te x^{2}.
a=-\frac{b}{x}
Whakawehe -bx ki te x^{2}.
bx=-ax^{2}
Tangohia te ax^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.
xb=-ax^{2}
He hanga arowhānui tō te whārite.
\frac{xb}{x}=-\frac{ax^{2}}{x}
Whakawehea ngā taha e rua ki te x.
b=-\frac{ax^{2}}{x}
Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.
b=-ax
Whakawehe -ax^{2} ki te x.
ax^{2}=-bx
Tangohia te bx mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.
x^{2}a=-bx
He hanga arowhānui tō te whārite.
\frac{x^{2}a}{x^{2}}=-\frac{bx}{x^{2}}
Whakawehea ngā taha e rua ki te x^{2}.
a=-\frac{bx}{x^{2}}
Mā te whakawehe ki te x^{2} ka wetekia te whakareanga ki te x^{2}.
a=-\frac{b}{x}
Whakawehe -bx ki te x^{2}.
bx=-ax^{2}
Tangohia te ax^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.
xb=-ax^{2}
He hanga arowhānui tō te whārite.
\frac{xb}{x}=-\frac{ax^{2}}{x}
Whakawehea ngā taha e rua ki te x.
b=-\frac{ax^{2}}{x}
Mā te whakawehe ki te x ka wetekia te whakareanga ki te x.
b=-ax
Whakawehe -ax^{2} ki te x.
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