1. Լուծեք անհավասարումը.
ա) x2 + 7x – 8 > 0
a = 1
b = 7
c = -8
D = 49 – 4 * 1 * (-8) = 45 * (-8) = 360
X1 = 7 + 9/2 = 1
X2 = 7 – 9/2 * 1 = -8
բ) 6x2 – 10x – 16 < 0
a = 62
b = -10
c = -16
D = 100 – 62 * 1 * (-16) = 64 * (-16) = 1024
X1 = 10 + 7/2 = 17
X2 = 10 – 7/2 * 1 = 3
գ) 2x2 – 11x + 9 > 0
a = 22
b = -11
c = 9
D = 121 – 22 * 1 * 9 = 117 * 9 = 1053
X1 = 1/2 = 1
X2 = -1/2 * 1 = -1
- Լուծեք անհավասարումը.
ա) 7x2 + 2x – 25 < 0
a = 72
b = 2
c = -25
D = 4 + 2 * 1 * (-25) = 6 * (-25) = -150
X1 = 2/2 = 1
X2 = -2/2 * 1 = -2
բ) -3x2 + 10x + 32 > 0
a = -32
b = 10
c = 32
D = 100 + 32 * 1 * 32 = 109 * 32 = 3488
X1 = 10/2 = 5
X2 = -10/2 * 1 = -5
գ) -11x2 + 3x + 8 < 0
a = -112
b = 3
c = 8
D = 32 + (-11) * 1 * 8 = (-20) * 8 = -160
X1 = 3/2 = 0
X2 = -3/2 * 1 = -1