Whakaoti i te 1-4ac/4a=8

$$\frac { 1 - 4 a c } { 4 a } = 8$$

Whakaoti mō a

$$a=\frac{1}{4\left(c+8\right)}$$

$$c\neq -8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te 4a.

$$1-4ac=32a$$

Tangohia te 32a mai i ngā taha e rua.

$$1-4ac-32a=0$$

Tangohia te 1 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-4ac-32a=-1$$

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

$$\left(-4c-32\right)a=-1$$

Whakawehea ngā taha e rua ki te -4c-32.

$$\frac{\left(-4c-32\right)a}{-4c-32}=-\frac{1}{-4c-32}$$

Mā te whakawehe ki te -4c-32 ka wetekia te whakareanga ki te -4c-32.

$$a=-\frac{1}{-4c-32}$$

Whakawehe -1 ki te -4c-32.

$$a=\frac{1}{4\left(c+8\right)}$$

Tē taea kia ōrite te tāupe a ki 0.

$$a=\frac{1}{4\left(c+8\right)}\text{, }a\neq 0$$

Whakaoti mō c

$$c=-8+\frac{1}{4a}$$

$$a\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 4a.

$$1-4ac=32a$$

Tangohia te 1 mai i ngā taha e rua.

$$-4ac=32a-1$$

He hanga arowhānui tō te whārite.

$$\left(-4a\right)c=32a-1$$

Whakawehea ngā taha e rua ki te -4a.

$$\frac{\left(-4a\right)c}{-4a}=\frac{32a-1}{-4a}$$

Mā te whakawehe ki te -4a ka wetekia te whakareanga ki te -4a.

$$c=\frac{32a-1}{-4a}$$

Whakawehe 32a-1 ki te -4a.

$$c=-8+\frac{1}{4a}$$