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受欢迎的代数 >

x^3-30x^2-625x+7500=0

解答

x^{3} - 30 x^{2} - 625 x + 7500 = 0

解答

x = - 20, x = 5 (5 + 10), x = 5 (5 - 10)

+1

十进制

x = - 20, x = 40.81138 \dots, x = 9.18861 \dots

求解步骤

x^{3} - 30 x^{2} - 625 x + 7500 = 0

因式分解

x^{3} - 30 x^{2} - 625 x + 7500 : (x + 20) (x^{2} - 50 x + 375)

(x + 20) (x^{2} - 50 x + 375) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 20 = 0 or x^{2} - 50 x + 375 = 0

解

x + 20 = 0 : x = - 20

解

x^{2} - 50 x + 375 = 0 : x = 5 (5 + 10), x = 5 (5 - 10)

解为

x = - 20, x = 5 (5 + 10), x = 5 (5 - 10)

作图

流行的例子

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x^{3} + x^{2} - 14 x - 24 = 0

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16 x^{3} + 16 x^{2} = x + 1

x^4+8x^3-3x^2-26x-16=0

x^{4} + 8 x^{3} - 3 x^{2} - 26 x - 16 = 0