不等式x³+2x²-3x≤0的解集是
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不等式x³+2x²-3x≤0的解集是
不等式x³+2x²-3x≤0的解集是
不等式x³+2x²-3x≤0的解集是
x≤-3或0≤x≤1
详
x³+2x²-3x≤0先将左边式子分解因式为x(x+3)(x-1)≤0,然后用分段函数判断就非常简单了.
(0,1)或负无穷小,负3)等号都能取到的,是中括号,
x³+2x²-3x≤0 , x(x²+2x-3)≤0 , x(x+3)(x-1)≤0
x≤0 x≤0 x≥0
x+3≤0 φ x+3≥0 -3≤x≤0 ...
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x³+2x²-3x≤0 , x(x²+2x-3)≤0 , x(x+3)(x-1)≤0
x≤0 x≤0 x≥0
x+3≤0 φ x+3≥0 -3≤x≤0 x+3≤0 φ
x-1≥0 x-1≤0 x-1≤0
解集是{x|-3≤x≤0}
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