\left. \begin{array} { l } { f {(x)} = 20 {(2 x ^ {3} + 3 x ^ {2} - 2 x)} }\\ { g = 8 x }\\ { h = g }\\ { i = h }\\ { j = i }\\ { k = j }\\ { l = k }\\ { m = l }\\ { n = m }\\ { o = n }\\ { p = o }\\ { q = p }\\ { r = q }\\ { s = r }\\ { \text{Solve for } t \text{ where} } \\ { t = s } \end{array} \right.
Whakaoti mō f, x, g, h, j, k, l, m, n, o, p, q, r, s, t
t=i
Tohaina
Kua tāruatia ki te papatopenga
h=i
Whakaarohia te whārite tuawhā. Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
i=g
Whakaarohia te whārite tuatoru. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.
g=i
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
i=8x
Whakaarohia te whārite tuarua. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.
\frac{i}{8}=x
Whakawehea ngā taha e rua ki te 8.
\frac{1}{8}i=x
Whakawehea te i ki te 8, kia riro ko \frac{1}{8}i.
x=\frac{1}{8}i
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
f\times \left(\frac{1}{8}i\right)=20\left(2\times \left(\frac{1}{8}i\right)^{3}+3\times \left(\frac{1}{8}i\right)^{2}-2\times \left(\frac{1}{8}i\right)\right)
Whakaarohia te whārite tuatahi. Me kōkuhu ngā uara tāupe mōhiotia ki te whārite.
f\times \left(\frac{1}{8}i\right)=20\left(2\times \left(-\frac{1}{512}i\right)+3\times \left(\frac{1}{8}i\right)^{2}-2\times \left(\frac{1}{8}i\right)\right)
Tātaihia te \frac{1}{8}i mā te pū o 3, kia riro ko -\frac{1}{512}i.
f\times \left(\frac{1}{8}i\right)=20\left(-\frac{1}{256}i+3\times \left(\frac{1}{8}i\right)^{2}-2\times \left(\frac{1}{8}i\right)\right)
Whakareatia te 2 ki te -\frac{1}{512}i, ka -\frac{1}{256}i.
f\times \left(\frac{1}{8}i\right)=20\left(-\frac{1}{256}i+3\left(-\frac{1}{64}\right)-2\times \left(\frac{1}{8}i\right)\right)
Tātaihia te \frac{1}{8}i mā te pū o 2, kia riro ko -\frac{1}{64}.
f\times \left(\frac{1}{8}i\right)=20\left(-\frac{1}{256}i-\frac{3}{64}-2\times \left(\frac{1}{8}i\right)\right)
Whakareatia te 3 ki te -\frac{1}{64}, ka -\frac{3}{64}.
f\times \left(\frac{1}{8}i\right)=20\left(-\frac{1}{256}i-\frac{3}{64}-\frac{1}{4}i\right)
Whakareatia te -2 ki te \frac{1}{8}i, ka -\frac{1}{4}i.
f\times \left(\frac{1}{8}i\right)=20\left(-\frac{3}{64}-\frac{65}{256}i\right)
Mahia ngā tāpiri i roto o -\frac{1}{256}i-\frac{3}{64}-\frac{1}{4}i.
f\times \left(\frac{1}{8}i\right)=-\frac{15}{16}-\frac{325}{64}i
Whakareatia te 20 ki te -\frac{3}{64}-\frac{65}{256}i, ka -\frac{15}{16}-\frac{325}{64}i.
f=\frac{-\frac{15}{16}-\frac{325}{64}i}{\frac{1}{8}i}
Whakawehea ngā taha e rua ki te \frac{1}{8}i.
f=\frac{\frac{325}{64}-\frac{15}{16}i}{-\frac{1}{8}}
Me whakarea tahi te taurunga me te tauraro o \frac{-\frac{15}{16}-\frac{325}{64}i}{\frac{1}{8}i} ki te wae pohewa i.
f=-\frac{325}{8}+\frac{15}{2}i
Whakawehea te \frac{325}{64}-\frac{15}{16}i ki te -\frac{1}{8}, kia riro ko -\frac{325}{8}+\frac{15}{2}i.
f=-\frac{325}{8}+\frac{15}{2}i x=\frac{1}{8}i g=i h=i j=i k=i l=i m=i n=i o=i p=i q=i r=i s=i t=i
Kua oti te pūnaha te whakatau.
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