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受欢迎的代数 >

6x^4+7x^3-22x^2-28x-8=0

解答

6 x^{4} + 7 x^{3} - 22 x^{2} - 28 x - 8 = 0

解答

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

+1

十进制

x = - 2, x = 2, x = - 0.5, x = - 0.66666 \dots

求解步骤

6 x^{4} + 7 x^{3} - 22 x^{2} - 28 x - 8 = 0

因式分解

6 x^{4} + 7 x^{3} - 22 x^{2} - 28 x - 8 : (x + 2) (x - 2) (2 x + 1) (3 x + 2)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x + 2 = 0 : x = - 2

解

x - 2 = 0 : x = 2

解

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

解

3 x + 2 = 0 : x = - \frac{2}{3}

解为

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

作图

流行的例子

4 x^{4} + 13 x + 9 = 0

(x - 1)^{3} = 27

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

(6 x + 9)^{3} + 3 = 0

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

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