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受欢迎的代数 >

-x^3+24x^2-56x-96=0

解答

- x^{3} + 24 x^{2} - 56 x - 96 = 0

解答

x = 4, x = 2 (5 + 31), x = 2 (5 - 31)

+1

十进制

x = 4, x = 21.13552 \dots, x = - 1.13552 \dots

求解步骤

- x^{3} + 24 x^{2} - 56 x - 96 = 0

因式分解

- x^{3} + 24 x^{2} - 56 x - 96 : - (x - 4) (x^{2} - 20 x - 24)

- (x - 4) (x^{2} - 20 x - 24) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x - 4 = 0 or x^{2} - 20 x - 24 = 0

解

x - 4 = 0 : x = 4

解

x^{2} - 20 x - 24 = 0 : x = 2 (5 + 31), x = 2 (5 - 31)

解为

x = 4, x = 2 (5 + 31), x = 2 (5 - 31)

作图

流行的例子

4 x (x^{2} - 3) = 0

4 x^{3} - 100 x = 0

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

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

(1 + x)^{20} = 2

105000=27000*a^5

105000 = 27000 \cdot a^{5}