Whakaoti i te -9/2=a*(-5/8+7/2)^2+10/3

$$- \frac { 9 } { 2 } = a \cdot ( - \frac { 5 } { 8 } + \frac { 7 } { 2 } ) ^ { 2 } + \frac { 10 } { 3 }$$

Whakaoti mō a

$$a=-\frac{1504}{1587}\approx -0.947700063$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tāpirihia te -\frac{5}{8} ki te \frac{7}{2}, ka \frac{23}{8}.

$$-\frac{9}{2}=a\times \left(\frac{23}{8}\right)^{2}+\frac{10}{3}$$

Tātaihia te \frac{23}{8} mā te pū o 2, kia riro ko \frac{529}{64}.

$$-\frac{9}{2}=a\times \frac{529}{64}+\frac{10}{3}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$a\times \frac{529}{64}+\frac{10}{3}=-\frac{9}{2}$$

Tangohia te \frac{10}{3} mai i ngā taha e rua.

$$a\times \frac{529}{64}=-\frac{9}{2}-\frac{10}{3}$$

Tangohia te \frac{10}{3} i te -\frac{9}{2}, ka -\frac{47}{6}.

$$a\times \frac{529}{64}=-\frac{47}{6}$$

Me whakarea ngā taha e rua ki te \frac{64}{529}, te tau utu o \frac{529}{64}.

$$a=-\frac{47}{6}\times \frac{64}{529}$$

Whakareatia te -\frac{47}{6} ki te \frac{64}{529}, ka -\frac{1504}{1587}.

$$a=-\frac{1504}{1587}$$