Question

Rozwiąż nierówność (zadanie w załączniku)

Answer 1

(2x-1)²/5-(x-3)(x+3)/2<0,3x²+7,9
(2x-1)²/5-(x-3)(x+3)/2-0,3x²-7,9<0
(2x-1)²/5+(-1(x-3)(x+3))/2-0,3x²-7,9<0
2(2x-1)²/(2*5)+(-1*5(x-3)(x+3))/(2*5)+(-0,3*2*5x²)/(2*5)+(-7,9*5)/(2*5)<0
2(2x-1)²-1*5(x-3)(x+3)-0,3*2*5x²-7,9*2*5<0
3x²-3x²-8x-79+47<0
47-8x-79<0
-8x-32<0
-8x<32 //:(-8)
x>-4
x∈(-4,+∞)

Answer 2

(2x-1)²/5 - (x-3)(x+3)/2 < 0,3x²+7,9   /*10
2(4x²-4x+1) -5(x²-9) < 3x²+79
8x²-8x+2-5x²+45 -3x² < 79
-8x < 79-47
-8x < 32  /:(-8)
x>-4