Решите неравенство 1) 3x^2+3x-6< (x-1) ^2 2) 3x^2-5x-32 (x-5) ^2 4) 2x^2+14x-20> (x-6) ^2 5) 3x^2+10x+19> (x+7) ^2

1

3x²+3x-6-x²+2x-1<0

2x²+5x-7<0

D=25+56=81

x1 = (-5-9) / 4=-3,5 U x2 = (-5+9) / 4=1

x∈ (-3,5; 1)

2

3x²-5x-32-x²+14x-49<0

2x²+9x-81<0

D=81+648=729

x1 = (-9-27) / 4=-9 U x2 = (-9+27) / 4=4,5

x∈ (-9; 4,5)

3

2x²+7x-13-x²+10x-25>0

x²+17x-38>0

x1+x2=-17 U x1*x2=-38

x1=-19 U x2=2

x∈ (-∞; -19) U (2; ∞)

4

2x²+14x-20-x²+12x-36>0

x²+26x-56>0

x1+x2=-26 U x1*x2=-56

x1=-28 U x2=2

x∈ (-∞; -28) U (2; ∞)

5

3x²+10x+19-x²-14x-49>0

2x²-4x-30>0

x²-2x-15>0

x1+x2=2 U x1*x2=-15

x1=-3 U x2=5

x∈ (-∞; -3) U (5; ∞)