Whakaoti i te {l}{-5/2n=1000}{o=7n+2n^2}{p=o}{q=p}{r=q}{s=r}{text{Solvefor}ttext{where}}{t=s}

$$\left. \begin{array} { l } { -\frac{5}{2} n = 1000 }\\ { o = 7 n + 2 n ^ {2} }\\ { p = o }\\ { q = p }\\ { r = q }\\ { s = r }\\ { \text{Solve for } t \text{ where} } \\ { t = s } \end{array} \right.$$

Whakaoti mō n, o, p, q, r, s, t

$$t=317200$$

Ngā Upane Otinga

Whakaarohia te whārite tuatahi. Me whakarea ngā taha e rua ki te -\frac{2}{5}, te tau utu o -\frac{5}{2}.

$$n=1000\left(-\frac{2}{5}\right)$$

Whakareatia te 1000 ki te -\frac{2}{5}, ka -400.

$$n=-400$$

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

$$o=7\left(-400\right)+2\left(-400\right)^{2}$$

Whakareatia te 7 ki te -400, ka -2800.

$$o=-2800+2\left(-400\right)^{2}$$

Tātaihia te -400 mā te pū o 2, kia riro ko 160000.

$$o=-2800+2\times 160000$$

Whakareatia te 2 ki te 160000, ka 320000.

$$o=-2800+320000$$

Tāpirihia te -2800 ki te 320000, ka 317200.

$$o=317200$$

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

$$p=317200$$

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

$$q=317200$$

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

$$r=317200$$

Whakaarohia te whārite (6). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$s=317200$$

Whakaarohia te whārite (7). Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.

$$t=317200$$

Kua oti te pūnaha te whakatau.

$$n=-400 o=317200 p=317200 q=317200 r=317200 s=317200 t=317200$$