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受欢迎的代数 >

4x^3-12x^2+8=0

解答

4 x^{3} - 12 x^{2} + 8 = 0

解答

x = 1, x = 1 + 3, x = 1 - 3

+1

十进制

x = 1, x = 2.73205 \dots, x = - 0.73205 \dots

求解步骤

4 x^{3} - 12 x^{2} + 8 = 0

因式分解

4 x^{3} - 12 x^{2} + 8 : 4 (x - 1) (x^{2} - 2 x - 2)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x - 1 = 0 : x = 1

解

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

解为

x = 1, x = 1 + 3, x = 1 - 3

作图

流行的例子

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

-247b^2+15b^4=0

- 247 b^{2} + 15 b^{4} = 0

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- x^{4} + 27 x^{2} - 10 x = 0

- 2 x^{4} + 7 = 2 x - 3

-4r^5+4r^4+0.25r-0.25=0

- 4 r^{5} + 4 r^{4} + 0.25 r - 0.25 = 0