5,5x - 2x^2 > 3,5x + 3x^2
5x (x - 5) > x - 5
2x^2 + 3x > x^2 + 7x - 4
(x - 3) (x - 7) < 5 (x - 3)
5x (x - 5) > x - 5
2x^2 + 3x > x^2 + 7x - 4
(x - 3) (x - 7) < 5 (x - 3)
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1) 5,5x - 2x² > 3,5x + 3x²5,5x - 2x² - 3,5x - 3x² > 0
- 5x² + 2x > 0
5x² - 2x < 0
x(5x - 2) < 0
x э ( 0 ; 0,4)
2) 5x(x -5) > x - 5
5x² - 25x - x + 5 > 0
5x² - 26x + 5 > 0
x э ( - бесконечность; 0.2) u ( 5 ; + бесконечности)
3) 2x² + 3x > x² + 7x - 4
2x² + 3x - x² - 7x + 4 > 0
x² - 4x + 4 > 0
(x - 2)² > 0
x э ( - бесконечности ; 2) U ( 2 ; + бесконечности)
4) (x - 3)( x - 7) < 5(x - 3)
x² - 7x - 3x + 21 - 5x + 15 < 0
x² - 15x + 36 < 0
x э ( 3 ; 12)