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受欢迎的代数 >

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

解答

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

解答

x = 0, x = \frac{- 3 + 13}{2}, x = \frac{- 3 - 13}{2}

+1

十进制

x = 0, x = 0.30277 \dots, x = - 3.30277 \dots

求解步骤

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

因式分解

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

4 x (x^{2} + 3 x - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x^{2} + 3 x - 1 = 0

解

x^{2} + 3 x - 1 = 0 : x = \frac{- 3 + 13}{2}, x = \frac{- 3 - 13}{2}

解为

x = 0, x = \frac{- 3 + 13}{2}, x = \frac{- 3 - 13}{2}

作图

流行的例子

x^6-14x^4+3x^2-42=0

x^{6} - 14 x^{4} + 3 x^{2} - 42 = 0

x^4-x^3-13x^2+x+12=0

x^{4} - x^{3} - 13 x^{2} + x + 12 = 0

s^3+10.6s^2+7s+10=0

s^{3} + 10.6 s^{2} + 7 s + 10 = 0

200x-0.02x^2-0.000002x^3-80000=0

200 x - 0.02 x^{2} - 0.000002 x^{3} - 80000 = 0

2x^3-14x^2+2x-14=0

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