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受欢迎的代数 >

4x^3-6x^2-18x+27=0

解答

4 x^{3} - 6 x^{2} - 18 x + 27 = 0

解答

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

+1

十进制

x = 1.5, x = - 2.12132 \dots, x = 2.12132 \dots

求解步骤

4 x^{3} - 6 x^{2} - 18 x + 27 = 0

因式分解

4 x^{3} - 6 x^{2} - 18 x + 27 : (2 x - 3) (2 x + 3) (2 x - 3)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

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

解

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

解

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

解

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

解为

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

作图

流行的例子

x^{3} + 9 x - 6 = 0

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

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

x^4-x^3-8x^2-4x-48=0

x^{4} - x^{3} - 8 x^{2} - 4 x - 48 = 0

(x^2+1)+(x^2+1)(x^4+1)=0

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

x^4-8x^2-x+15=0

x^{4} - 8 x^{2} - x + 15 = 0