zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

(((x-2)^2*(x-4)^4))/((x^2-x+1))<= 0

解答

\frac{( ( x - 2 ) ^{2} \cdot ( x - 4 ) ^{4} )}{( x ^{2} - x + 1 )} \leq 0

解答

x = 2 or x = 4

+1

间隔符号

x = 2 \cup x = 4

求解步骤

\frac{( x - 2 ) ^{2} ( x - 4 ) ^{4}}{x ^{2} - x + 1} \leq 0

改写为标准形式

\frac{( 24 x ^{4} + 2304 x ^{2} + 4 ( - 96 x ^{3} - 1536 x ) + 6144 ) ( x - 2 ) ^{2}}{x ^{2} - x + 1} \leq 0

因式分解

\frac{( 24 x ^{4} + 2304 x ^{2} + 4 ( - 96 x ^{3} - 1536 x ) + 6144 ) ( x - 2 ) ^{2}}{x ^{2} - x + 1} : \frac{24 ( x - 4 ) ^{4} ( x - 2 ) ^{2}}{x ^{2} - x + 1}

\frac{24 ( x - 4 ) ^{4} ( x - 2 ) ^{2}}{x ^{2} - x + 1} \leq 0

两边除以

24

\frac{\frac{24 ( x - 4 ) ^{4} ( x - 2 ) ^{2}}{x ^{2} - x + 1}}{24} \leq \frac{0}{24}

化简

\frac{( x - 4 ) ^{4} ( x - 2 ) ^{2}}{x ^{2} - x + 1} \leq 0

确定区间

x = 2, x = 4

x = 2 or x = 4

作图

流行的例子

x (x^{2} + 1) \geq 2

((x^2+7x+10))/((x^2-4))>= 0

\frac{( x ^{2} + 7 x + 10 )}{( x ^{2} - 4 )} \geq 0

6x^3+x^2-54x+56<0

6 x^{3} + x^{2} - 54 x + 56 < 0

x/((x-3))< 9/((4x+3))

\frac{x}{( x - 3 )} < \frac{9}{( 4 x + 3 )}

((x-4))/((x+2))>= ((x-5))/((x+4))

\frac{( x - 4 )}{( x + 2 )} \geq \frac{( x - 5 )}{( x + 4 )}