Whakaoti i te {l}{S=-3/2m^2+9/2m+9/2}{m=3/2}

$$\left\{ \begin{array} { l } { S = - \frac { 3 } { 2 } m ^ { 2 } + \frac { 9 } { 2 } m + \frac { 9 } { 2 } } \\ { m = \frac { 3 } { 2 } } \end{array} \right.$$

Whakaoti mō S, m

$$S = \frac{63}{8} = 7\frac{7}{8} = 7.875$$

$$m = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

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

Tātaihia te \frac{3}{2} mā te pū o 2, kia riro ko \frac{9}{4}.

$$S=-\frac{3}{2}\times \frac{9}{4}+\frac{9}{2}\times \frac{3}{2}+\frac{9}{2}$$

Whakareatia te -\frac{3}{2} ki te \frac{9}{4}, ka -\frac{27}{8}.

$$S=-\frac{27}{8}+\frac{9}{2}\times \frac{3}{2}+\frac{9}{2}$$

Whakareatia te \frac{9}{2} ki te \frac{3}{2}, ka \frac{27}{4}.

$$S=-\frac{27}{8}+\frac{27}{4}+\frac{9}{2}$$

Tāpirihia te -\frac{27}{8} ki te \frac{27}{4}, ka \frac{27}{8}.

$$S=\frac{27}{8}+\frac{9}{2}$$

Tāpirihia te \frac{27}{8} ki te \frac{9}{2}, ka \frac{63}{8}.

$$S=\frac{63}{8}$$

Kua oti te pūnaha te whakatau.

$$S=\frac{63}{8} m=\frac{3}{2}$$