solvefor E,x= R/(R+E)i(E)

解答

求解

E, x = \frac{R}{R + E} i (E)

无解

求解步骤

x = \frac{R}{R + E} i (E)

替代

E = a + bi

x = \frac{R}{R + a + bi} i (a + bi)

在两边乘以

R + a + ib

x (R + a + ib) = \frac{R}{R + a + bi} i (a + bi) (R + a + ib)

乘开

x R + x a + i x b = - R b + i R a

复数仅在实部和虚部均相等时才相等改写为方程组:

[x R + x a = - R b x b = R a]

[x R + x a = - R b x b = R a] : 无解

E = a + bi

代回

无解

so l v e f or x, x^{2} - y^{2} i f x = - 3

(m - \frac{1}{2}) (m - 3 - i) = 0

so l v e f or x, y = - x^{2} + 1 g r a f i c a r

z^{2} + 4 i = 0

\frac{1 - 2 i}{z} = (1 + i)^{2}