Whakaoti i te 3x^2+x+2m-3=0

$$3 x ^ { 2 } + x + 2 m - 3 = 0$$

Whakaoti mō m

$$m=\frac{3-x-3x^{2}}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 3x^{2} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$x+2m-3=-3x^{2}$$

Tangohia te x mai i ngā taha e rua.

$$2m-3=-3x^{2}-x$$

Me tāpiri te 3 ki ngā taha e rua.

$$2m=-3x^{2}-x+3$$

He hanga arowhānui tō te whārite.

$$2m=3-x-3x^{2}$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2m}{2}=\frac{3-x-3x^{2}}{2}$$

Mā te whakawehe ki te 2 ka wetekia te whakareanga ki te 2.

$$m=\frac{3-x-3x^{2}}{2}$$

Whakaoti mō x (complex solution)

$$x=\frac{\sqrt{37-24m}-1}{6}$$

$$x=\frac{-\sqrt{37-24m}-1}{6}$$

Whakaoti mō x

$$x=\frac{\sqrt{37-24m}-1}{6}$$

$$x=\frac{-\sqrt{37-24m}-1}{6}\text{, }m\leq \frac{37}{24}$$