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受欢迎的代数 >

3c^3+21c^2-54c=0

解答

3 c^{3} + 21 c^{2} - 54 c = 0

解答

c = 0, c = 2, c = - 9

求解步骤

3 c^{3} + 21 c^{2} - 54 c = 0

因式分解

3 c^{3} + 21 c^{2} - 54 c : 3 c (c - 2) (c + 9)

3 c (c - 2) (c + 9) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

c = 0 or c - 2 = 0 or c + 9 = 0

解

c - 2 = 0 : c = 2

解

c + 9 = 0 : c = - 9

解为

c = 0, c = 2, c = - 9

作图

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