1. ROZŁÓŻ NA CZYNNIKI 7-y²=
(2y+1)²-x²
2.Rozwiąż :
-2|x| > -4(x-2)² - (x-5) (x+5) > -4(x+5 )
7-y²=(√7-y)(√7+y)
(2y+1)² - x² =(2y+1 -x)(2y+1 +x)
2)
-2|x|>-4
-2x>-4 ∨ -2(-x)>-4
x<2 2x>-4
x>-2
x∈(-2 , 2)
x²-4x+4-(x²-25)> -4x -20
x²-4x+4-x²+25+4x> -20
0 > -49
x∈R
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7-y²=(√7-y)(√7+y)
(2y+1)² - x² =(2y+1 -x)(2y+1 +x)
2)
-2|x|>-4
-2x>-4 ∨ -2(-x)>-4
x<2 2x>-4
x>-2
x∈(-2 , 2)
x²-4x+4-(x²-25)> -4x -20
x²-4x+4-x²+25+4x> -20
0 > -49
x∈R