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受欢迎的代数 >

16x^2-60x-x^3=0

解答

16 x^{2} - 60 x - x^{3} = 0

解答

x = 0, x = 6, x = 10

求解步骤

16 x^{2} - 60 x - x^{3} = 0

因式分解

16 x^{2} - 60 x - x^{3} : - x (x - 6) (x - 10)

- x (x - 6) (x - 10) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x - 6 = 0 or x - 10 = 0

解

x - 6 = 0 : x = 6

解

x - 10 = 0 : x = 10

解为

x = 0, x = 6, x = 10

作图

流行的例子

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x^{4} - 53 x^{2} + 196 = 0

y^{6} + y = 0

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4 x^{3} - 4 x^{2} - 25 x + 25 = 0

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4 x^{3} - 12 x^{2} + 12 x - 4 = 0

25x^3-75x^2-9x+27=0

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