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受欢迎的代数 >

60x^4+120x^3-900x^2=0

解答

60 x^{4} + 120 x^{3} - 900 x^{2} = 0

解答

x = 0, x = 3, x = - 5

求解步骤

60 x^{4} + 120 x^{3} - 900 x^{2} = 0

因式分解

60 x^{4} + 120 x^{3} - 900 x^{2} : 60 x^{2} (x - 3) (x + 5)

60 x^{2} (x - 3) (x + 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x - 3 = 0 or x + 5 = 0

解

x - 3 = 0 : x = 3

解

x + 5 = 0 : x = - 5

解为

x = 0, x = 3, x = - 5

作图

流行的例子

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2 x^{3} = 72 x

6 x^{4} = - 16, x^{4} = 1

x^3-11x^2+31x-21=0

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