Whakaoti i te x=left(3+2m-m^2+3right)m1/2+1/2left(3-mright)*left(-m^2+2m+3right)

$$x= \left( 3+2m- { m }^{ 2 } +3 \right) m \frac{ 1 }{ 2 } + \frac{ 1 }{ 2 } \left( 3-m \right) \times \left( - { m }^{ 2 } +2m+3 \right)$$

Whakaoti mō x

$$x=\frac{9+9m-3m^{2}}{2}$$

Ngā Upane Otinga

Tāpirihia te 3 ki te 3, ka 6.

$$x=\left(6+2m-m^{2}\right)m\times \frac{1}{2}+\frac{1}{2}\left(3-m\right)\left(-m^{2}+2m+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6+2m-m^{2} ki te m.

$$x=\left(6m+2m^{2}-m^{3}\right)\times \frac{1}{2}+\frac{1}{2}\left(3-m\right)\left(-m^{2}+2m+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6m+2m^{2}-m^{3} ki te \frac{1}{2}.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\frac{1}{2}\left(3-m\right)\left(-m^{2}+2m+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{2} ki te 3-m.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\left(\frac{3}{2}-\frac{1}{2}m\right)\left(-m^{2}+2m+3\right)$$

Whakamahia te āhuatanga tuaritanga hei whakarea te \frac{3}{2}-\frac{1}{2}m ki te -m^{2}+2m+3 ka whakakotahi i ngā kupu rite.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\frac{3}{2}\left(-m^{2}\right)+\frac{3}{2}m+\frac{9}{2}-\frac{1}{2}m\left(-m^{2}\right)-m^{2}$$

Whakareatia te -\frac{1}{2} ki te -1, ka \frac{1}{2}.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\frac{3}{2}\left(-m^{2}\right)+\frac{3}{2}m+\frac{9}{2}+\frac{1}{2}mm^{2}-m^{2}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$x=3m+m^{2}-\frac{1}{2}m^{3}+\frac{3}{2}\left(-m^{2}\right)+\frac{3}{2}m+\frac{9}{2}+\frac{1}{2}m^{3}-m^{2}$$

Pahekotia te 3m me \frac{3}{2}m, ka \frac{9}{2}m.

$$x=\frac{9}{2}m+m^{2}-\frac{1}{2}m^{3}+\frac{3}{2}\left(-m^{2}\right)+\frac{9}{2}+\frac{1}{2}m^{3}-m^{2}$$

Pahekotia te -\frac{1}{2}m^{3} me \frac{1}{2}m^{3}, ka 0.

$$x=\frac{9}{2}m+m^{2}+\frac{3}{2}\left(-m^{2}\right)+\frac{9}{2}-m^{2}$$

Pahekotia te m^{2} me -m^{2}, ka 0.

$$x=\frac{9}{2}m+\frac{3}{2}\left(-m^{2}\right)+\frac{9}{2}$$

Whakareatia te \frac{3}{2} ki te -1, ka -\frac{3}{2}.

$$x=\frac{9}{2}m-\frac{3}{2}m^{2}+\frac{9}{2}$$

Whakaoti mō m (complex solution)

$$m=\frac{\sqrt{189-24x}}{6}+\frac{3}{2}$$

$$m=-\frac{\sqrt{189-24x}}{6}+\frac{3}{2}$$

Whakaoti mō m

$$m=\frac{\sqrt{189-24x}}{6}+\frac{3}{2}$$

$$m=-\frac{\sqrt{189-24x}}{6}+\frac{3}{2}\text{, }x\leq \frac{63}{8}$$