Whakaoti mō x (complex solution)
x=\frac{35\sqrt{3}i}{3}\approx 20.207259422i
Graph
Tohaina
Kua tāruatia ki te papatopenga
\sqrt{3}ix+40=5
Tauwehea te -3=3\left(-1\right). Tuhia anō te pūtake rua o te hua \sqrt{3\left(-1\right)} hei hua o ngā pūtake rua \sqrt{3}\sqrt{-1}. Hei tōna tikanga, ko te pūtake rua o -1 ko i.
\sqrt{3}ix=5-40
Tangohia te 40 mai i ngā taha e rua.
\sqrt{3}ix=-35
Tangohia te 40 i te 5, ka -35.
\frac{\sqrt{3}ix}{\sqrt{3}i}=-\frac{35}{\sqrt{3}i}
Whakawehea ngā taha e rua ki te i\sqrt{3}.
x=-\frac{35}{\sqrt{3}i}
Mā te whakawehe ki te i\sqrt{3} ka wetekia te whakareanga ki te i\sqrt{3}.
x=\frac{35\sqrt{3}i}{3}
Whakawehe -35 ki te i\sqrt{3}.
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