Whakaoti i te {l}{x=23/6}{y=-x^2+7/2x+2}

$$\left. \begin{array} { l } { x = \frac { 23 } { 6 } } \\ { y = - x ^ { 2 } + \frac { 7 } { 2 } x + 2 } \end{array} \right.$$

Whakaoti mō x, y

$$x = \frac{23}{6} = 3\frac{5}{6} \approx 3.833333333$$

$$y=\frac{13}{18}\approx 0.722222222$$

Ngā Upane Otinga

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

$$y=-\left(\frac{23}{6}\right)^{2}+\frac{7}{2}\times \frac{23}{6}+2$$

Tātaihia te \frac{23}{6} mā te pū o 2, kia riro ko \frac{529}{36}.

$$y=-\frac{529}{36}+\frac{7}{2}\times \frac{23}{6}+2$$

Whakareatia te \frac{7}{2} ki te \frac{23}{6}, ka \frac{161}{12}.

$$y=-\frac{529}{36}+\frac{161}{12}+2$$

Tāpirihia te -\frac{529}{36} ki te \frac{161}{12}, ka -\frac{23}{18}.

$$y=-\frac{23}{18}+2$$

Tāpirihia te -\frac{23}{18} ki te 2, ka \frac{13}{18}.

$$y=\frac{13}{18}$$

Kua oti te pūnaha te whakatau.

$$x=\frac{23}{6} y=\frac{13}{18}$$