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March 2022
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решите неравенство (5x+4)^2 больше либо равно 9
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KarinaYouchi
(5x+4)^2≥9
25x^2+40x+16-9≥0
25x^2+40x+7≥0
25x^2+40x+7=0
D=40^2-4*25*7=1600-700=900
x1=-40+√900=-40+30=-10\50=-0.2
2*25 50
x2=-40-√900=-40-30=-70\50=-1.4
2*25 50
25(x+0.2)(x+1.4)≥0
+ - +
//////////////////////////// ///////////////////////////
-----------------------[-1.4]-----------------------------[-0.2]-----------------------
Ответ:(-∞;-1.4]U[-0.2;+∞)
1 votes
Thanks 1
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Answers & Comments
25x^2+40x+16-9≥0
25x^2+40x+7≥0
25x^2+40x+7=0
D=40^2-4*25*7=1600-700=900
x1=-40+√900=-40+30=-10\50=-0.2
2*25 50
x2=-40-√900=-40-30=-70\50=-1.4
2*25 50
25(x+0.2)(x+1.4)≥0
+ - +
//////////////////////////// ///////////////////////////
-----------------------[-1.4]-----------------------------[-0.2]-----------------------
Ответ:(-∞;-1.4]U[-0.2;+∞)