已知复数z=a^2+a-2+(a^2-3a+2)i为纯虚数,那么实数a的值?
问题描述:
已知复数z=a^2+a-2+(a^2-3a+2)i为纯虚数,那么实数a的值?
答
a^2 + a - 2 = 0 => a = 1 or a = -2
a = 1,a^2 - 3a + 2 = 0,不合题意
a = -2