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受欢迎的代数 >

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

解答

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

解答

x = - 3, x = - \frac{1}{2}, x = \frac{1}{2}

+1

十进制

x = - 3, x = - 0.70710 \dots, x = 0.70710 \dots

求解步骤

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

因式分解

2 x^{3} + 6 x^{2} - x - 3 : (x + 3) (2 x + 1) (2 x - 1)

(x + 3) (2 x + 1) (2 x - 1) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 3 = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

解

x + 3 = 0 : x = - 3

解

2 x + 1 = 0 : x = - \frac{1}{2}

解

2 x - 1 = 0 : x = \frac{1}{2}

解为

x = - 3, x = - \frac{1}{2}, x = \frac{1}{2}

作图

流行的例子

1 - (p + 3)^{3} = - 8

(4^{2} - x)^{4} = 16

2=((1+r)/(100))^6

2 = (\frac{1 + r}{100})^{6}

2x^4-x^3-3x^2-9x-4=0

2 x^{4} - x^{3} - 3 x^{2} - 9 x - 4 = 0

m^{3} + 6 m^{2} + m + 8 = 0