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受欢迎的代数 >

-12x^3-44x^2-40x=0

解答

- 12 x^{3} - 44 x^{2} - 40 x = 0

解答

x = 0, x = - \frac{5}{3}, x = - 2

+1

十进制

x = 0, x = - 1.66666 \dots, x = - 2

求解步骤

- 12 x^{3} - 44 x^{2} - 40 x = 0

因式分解

- 12 x^{3} - 44 x^{2} - 40 x : - 4 x (3 x + 5) (x + 2)

- 4 x (3 x + 5) (x + 2) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or 3 x + 5 = 0 or x + 2 = 0

解

3 x + 5 = 0 : x = - \frac{5}{3}

解

x + 2 = 0 : x = - 2

解为

x = 0, x = - \frac{5}{3}, x = - 2

作图

流行的例子

y^{3} = 3

4 x^{5} = 64 x^{3}

-r^3-12r^2+60r-64=0

- r^{3} - 12 r^{2} + 60 r - 64 = 0

3x^4-9x^3=-9x^2+27x

3 x^{4} - 9 x^{3} = - 9 x^{2} + 27 x

0=4x^3-24x^2-x+6

0 = 4 x^{3} - 24 x^{2} - x + 6