
Պրոգրեսիա

144
Ա) 7>3X – 5X2
5X2+2X+3>0
Բ) 2X > -3 +2X2
2X2+2X+3>0
Գ) 13X2 -5<X
13X2 – X-5>0
Դ) 4X +5>X2
-X2 +4X+5>0
Ax2 + bx + c = 0
D = b2 – 4ac
ա) 2x2 + 5 +3 = 0
D = 25 – 4 × 2 3 = 0
D= 25-4 × 2 3 = 4 × 2
3 = 25-24 =1
D=1
Բ) 2x2 + 5x – 3 =0
D= 25 – 4 × 2 3 = 0
D= 25 – 4 × 2 3 = 25 – 4 × 2
3 = 25 – 24 = 1
D = 1
Գ) 2x2 + 5x -3 =0
D= 25 – 4 × 2 (-3) = 0
D= 25 – (-24) = 49
D= 49
Դ) 2x2 + 5x — 3 = 0
D= 25 – 4 × 2 (-3) = 0
D= 25 – 4 × 2 (- 3) = 0
D= 25 – 4 × 2 (-3) = 25 – (-24 ) = 49
D= 49
137
ա) x2-x+3>0
x2-x+3=0
D=1-4*1*3=1-12= -11
բ) x2+2x+2<0
x2+2x+2=0
D=4-4*1*2= -4
գ) x2 -3x+4<0
x2-3x+4=0
D=9-4*1*4= -7
դ) x2+x+5<0
x2+x+5=0
D=1-4*1*5= -19
573. ա) 2x2+5x+3
D=25-4.2.3=25-24=1
ե) x2-4x+5
D=16-1.4.5=16-20=-4
զ) x2+6x+9
D=36-1.4.9=36-36=0
է) x2+12x+1
D=4-1.4.1=0
ը) -32+5x-2
D=25-3.4.(-2)=25-(-24)=49
թ)x2+2x+2
D=4-1.4.2=4-8=-4
591. ա) 2x2-3x-5=0
D=9-2.4.(-5)=9-(-40)=49
բ) x2+5+1
D=25-1.4.1=25-4=21
գ) 9x2-6x+1=0
D=36-4.9.1=36-36=0
դ) x2+x+1=0
D=1-4.1.1=1-4=-3