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受欢迎的代数 >

6x^5+11x^4-39x^3-41x^2+45x+18=0

解答

6 x^{5} + 11 x^{4} - 39 x^{3} - 41 x^{2} + 45 x + 18 = 0

解答

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

+1

十进制

x = 1, x = 2, x = - 3, x = - 0.33333 \dots, x = - 1.5

求解步骤

6 x^{5} + 11 x^{4} - 39 x^{3} - 41 x^{2} + 45 x + 18 = 0

因式分解

6 x^{5} + 11 x^{4} - 39 x^{3} - 41 x^{2} + 45 x + 18 : (x - 1) (x - 2) (x + 3) (3 x + 1) (2 x + 3)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

x - 1 = 0 : x = 1

解

x - 2 = 0 : x = 2

解

x + 3 = 0 : x = - 3

解

3 x + 1 = 0 : x = - \frac{1}{3}

解

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

解为

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

作图

流行的例子

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roo t s x^{3} - 2 x^{2} + x - 2

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so l v e f or x, (x^{2} + y)^{3} = y

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