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suzanna25
@suzanna25
August 2022
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Розв"яжіть нерівність
[tex] \frac{3x+2}{18} - \frac{2 x^{2} -1}{12} - \frac{2x-3}{4} \leq \frac{4}{9} [/tex]
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sedinalana
Verified answer
Общий знаменатель 36
2(3x+2)-3(2x²-1)-9(2x-3)-4*4≤0
6x+4-6x²+3-18x+27-16≤0
-6x²-12x+18≤0
x²+2x-3≥0
x1+x2=-2 U x1*x2=-3⇒x1=-3 U x2=1
x∈(-∞;-3] U [1;∞)
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Verified answer
Общий знаменатель 362(3x+2)-3(2x²-1)-9(2x-3)-4*4≤0
6x+4-6x²+3-18x+27-16≤0
-6x²-12x+18≤0
x²+2x-3≥0
x1+x2=-2 U x1*x2=-3⇒x1=-3 U x2=1
x∈(-∞;-3] U [1;∞)