(((x+3)^2(x^2+x+1)))/(((4-x)x))>= 0

解答

\frac{( ( x + 3 ) ^{2} \cdot ( x ^{2} + x + 1 ) )}{( ( 4 - x ) \cdot x )} \geq 0

x = - 3 or 0 < x < 4

间隔符号

x = - 3 \cup (0, 4)

求解步骤

\frac{( x + 3 ) ^{2} ( x ^{2} + x + 1 )}{( 4 - x ) x} \geq 0

确定区间

x = - 3 or 0 < x < 4

\frac{( x ^{2} - 5 x + 6 )}{( x - 2 )} < 0

x^{2} + 6 x + 15 > 0

(x + 1 + 5)^{2} + 5 \geq 3 - (x + 1 + 3)^{2}

\frac{3}{x} < 1

(- 3 x + 1) (- 3 x + 4) > - 2 x + 26