Every polynomial with complex coefﬁcients of degree n has _数学解答

Every polynomial with complex coefﬁcients of degree n has n zeros.Find all of the solutions to the equation:(x-2)(x-3)(x-4)(x-5) = 360

人气：349 ℃　时间：2020-02-05 04:41:30

解答

求(x-2)(x-3)(x-4)(x-5) = 360的根
360=3x4x5x6=(-3)(-4)(-5)(-6)
所以解是x=8 or x=-1
另外两个根是x^2-7x+30=0的复数根
所以,按照题意可求得的解是
x1=8 x2=-1