Whakaoti i te 144z^2+168x+153=0

$$144 z ^ { 2 } + 168 x + 153 = 0$$

Whakaoti mō x

$$x=-\frac{6z^{2}}{7}-\frac{51}{56}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 144z^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$168x+153=-144z^{2}$$

Tangohia te 153 mai i ngā taha e rua.

$$168x=-144z^{2}-153$$

Whakawehea ngā taha e rua ki te 168.

$$\frac{168x}{168}=\frac{-144z^{2}-153}{168}$$

Mā te whakawehe ki te 168 ka wetekia te whakareanga ki te 168.

$$x=\frac{-144z^{2}-153}{168}$$

Whakawehe -144z^{2}-153 ki te 168.

$$x=-\frac{6z^{2}}{7}-\frac{51}{56}$$

Whakaoti mō z (complex solution)

$$z=-\frac{\sqrt{-168x-153}}{12}$$

$$z=\frac{\sqrt{-168x-153}}{12}$$

Whakaoti mō z

$$z=\frac{\sqrt{-168x-153}}{12}$$

$$z=-\frac{\sqrt{-168x-153}}{12}\text{, }x\leq -\frac{51}{56}$$