x(2x-3)≤0后怎么算?

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x(2x-3)≤0后怎么算?
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x(2x-3)≤0后怎么算?
x(2x-3)≤0后怎么算?

x(2x-3)≤0后怎么算?

收起

0 ≤ x ≤ 2/3

x(2x-3)=2x^2-3x=2(x^2-1.5x+0.75^2)-2*0.75^2=2(x-0.75)^2-1.125
式子化为2(x-0.75)^2-1.125≤0
(x-3/4)^2≤9/16
-3/4≤ x-3/4≤3/4
0≤x≤3/2