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受欢迎的代数 >

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

解答

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

解答

x = \frac{3}{2}, x = \frac{3 ( 1 + 3 )}{2}, x = \frac{3 ( 1 - 3 )}{2}

+1

十进制

x = 1.5, x = 4.09807 \dots, x = - 1.09807 \dots

求解步骤

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

因式分解

4 x^{3} - 18 x^{2} + 27 : (2 x - 3) (2 x^{2} - 6 x - 9)

(2 x - 3) (2 x^{2} - 6 x - 9) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

2 x - 3 = 0 or 2 x^{2} - 6 x - 9 = 0

解

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

解

2 x^{2} - 6 x - 9 = 0 : x = \frac{3 ( 1 + 3 )}{2}, x = \frac{3 ( 1 - 3 )}{2}

解为

x = \frac{3}{2}, x = \frac{3 ( 1 + 3 )}{2}, x = \frac{3 ( 1 - 3 )}{2}

作图

流行的例子

0.126825=(1+x)^4-1

0.126825 = (1 + x)^{4} - 1

solvefor x,-5x^3-3y^2=17

so l v e f or x, - 5 x^{3} - 3 y^{2} = 17

- 6 + x^{4} = - 5

y - y^{3} = 0

x^4-x^3-10x^2-x+1=0

x^{4} - x^{3} - 10 x^{2} - x + 1 = 0