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受欢迎的代数 >

x^3-15x-4=0

解答

x^{3} - 15 x - 4 = 0

解答

x = 4, x = - 2 + 3, x = - 2 - 3

+1

十进制

x = 4, x = - 0.26794 \dots, x = - 3.73205 \dots

求解步骤

x^{3} - 15 x - 4 = 0

因式分解

x^{3} - 15 x - 4 : (x - 4) (x^{2} + 4 x + 1)

(x - 4) (x^{2} + 4 x + 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 4 = 0 or x^{2} + 4 x + 1 = 0

解

x - 4 = 0 : x = 4

解

x^{2} + 4 x + 1 = 0 : x = - 2 + 3, x = - 2 - 3

解为

x = 4, x = - 2 + 3, x = - 2 - 3

作图

流行的例子

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- 2 x (100 x^{2} - 9) (x^{2} + 81) = 0

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- (- 10 x + 1) - 4 x = 7 x^{7} x

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