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受欢迎的代数 >

(r^2+2r+10)3r(r+1)2=0

解答

(r^{2} + 2 r + 10) 3 r (r + 1) 2 = 0

解答

r = - 1 + 3 i, r = - 1 - 3 i, r = 0, r = - 1

求解步骤

(r^{2} + 2 r + 10) \cdot 3 r (r + 1) \cdot 2 = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

r^{2} + 2 r + 10 = 0 or r = 0 or r + 1 = 0

解

r^{2} + 2 r + 10 = 0 : r = - 1 + 3 i, r = - 1 - 3 i

解

r + 1 = 0 : r = - 1

解为

r = - 1 + 3 i, r = - 1 - 3 i, r = 0, r = - 1

作图

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