Whakaoti i te x^2-ab-a^2=bx

$${ x }^{ 2 } -ab- { a }^{ 2 } = bx$$

Whakaoti mō b (complex solution)

$$\left\{\begin{matrix}\\b=x-a\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&x=-a\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te bx mai i ngā taha e rua.

$$x^{2}-ab-a^{2}-bx=0$$

Tangohia te x^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-ab-a^{2}-bx=-x^{2}$$

Me tāpiri te a^{2} ki ngā taha e rua.

$$-ab-bx=-x^{2}+a^{2}$$

Pahekotia ngā kīanga tau katoa e whai ana i te b.

$$\left(-a-x\right)b=-x^{2}+a^{2}$$

He hanga arowhānui tō te whārite.

$$\left(-x-a\right)b=a^{2}-x^{2}$$

Whakawehea ngā taha e rua ki te -a-x.

$$\frac{\left(-x-a\right)b}{-x-a}=\frac{\left(a-x\right)\left(x+a\right)}{-x-a}$$

Mā te whakawehe ki te -a-x ka wetekia te whakareanga ki te -a-x.

$$b=\frac{\left(a-x\right)\left(x+a\right)}{-x-a}$$

Whakawehe \left(x+a\right)\left(-x+a\right) ki te -a-x.

$$b=x-a$$

Whakaoti mō b

$$\left\{\begin{matrix}\\b=x-a\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&x=-a\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te bx mai i ngā taha e rua.

$$x^{2}-ab-a^{2}-bx=0$$

Tangohia te x^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-ab-a^{2}-bx=-x^{2}$$

Me tāpiri te a^{2} ki ngā taha e rua.

$$-ab-bx=-x^{2}+a^{2}$$

Pahekotia ngā kīanga tau katoa e whai ana i te b.

$$\left(-a-x\right)b=-x^{2}+a^{2}$$

He hanga arowhānui tō te whārite.

$$\left(-x-a\right)b=a^{2}-x^{2}$$

Whakawehea ngā taha e rua ki te -a-x.

$$\frac{\left(-x-a\right)b}{-x-a}=\frac{\left(a-x\right)\left(x+a\right)}{-x-a}$$

Mā te whakawehe ki te -a-x ka wetekia te whakareanga ki te -a-x.

$$b=\frac{\left(a-x\right)\left(x+a\right)}{-x-a}$$

Whakawehe \left(x+a\right)\left(-x+a\right) ki te -a-x.

$$b=x-a$$

Whakaoti mō a

$$a=-x$$

$$a=x-b$$