ա) 2x2=5+3x
2x2-3x-5=0
a=2; b= -3; c= -5
D=b2-4ac
D=9-(-40)=49
x1= -b+√D/2a=3+7/4=10/4=2.1/2
x2= -b-√D/2a=3-7/4= -4/4= -1
բ) -x2+14x-48=0
a= -1; b=14; c= -48
D=b2-4ac
D=196-192=4
x1= -b+√D/2a= -14+2/-2= -12/-2=6
x2= -b-√D/2a= -14-2/-2= -16/-2=8
գ) -7x2+2x= — 329
-7x2+2x+329=0
a= -7; b=2; c=329
D=b2-4ac
D=9216
x1= -b+√D/2a= -2+96/-14=94/-14= -6.71
x2= -b-√D/2a= -2-90/-14= -98/-14=7
դ) x2+x-5=0
a=1; b=1; c= -5
D=b2-4ac
D=21
x1= -b+√D/2a= -1+4.58/2=1.79
x2= -b-√D/2a= -1-4.58/2= -2.79
ե) 2x2-17x-9=0
a=2; b= -17; c= -9
D=b2-4ac
D=361
x1= -b+√D/2a=36/4=9
x2= -b-√D/2a=17-19/4= -2/4= -1/2
զ) 7x2+13x-3=0
a=7; b=13; c= -3
D=b2-4ac
D=253
x1= -b+√D/2a= -13+15.9/14=2.9/14
x2= -b-√D/2a= -13-15.9/14= -289/14= -20.64
է) 9x2-20=24x
9x2-24x-20=0
a=9; b= -24; c= -20
D=b2-4ac
D= 1296
x1= -b+√D/2a=24+36/18=60/18=40/9
x2= -b-√D/2a=24-36/18= -12/18= -2/3
ը) 4x2-4x-15=0
a=4; b= -4; c= -15
D=b2-4ac
D=256
x1= -b+√D/2a=20/8=5/2=2.1/2
x2= -b-√D/2a=4-16/8= -3/2
ա) (x+8)*(x-9)= -52
x2-9x+8x-72= -52
x2-x-72= -52
x2-x-72+52=0
x*(x+4)-5(x+4)=0
x+4=0; x-5=0
x1= -4; x2=5
բ) (x-1)*(2x+3)=7
2x2+3x-2x-3=7
2x2+x-3-7=0
x*(2x+5)-2(2x+5)=0
2x+5=0; x-2=0
x1= -5/2; x2=2
գ) (x+1)*(x+2)=(2x-1)*(2x-10)
x2+2x+x+2=4x2-20x-2x+10
-3x2+25x-8=0
3x2-25x+8=0
x*(3x-1)-8(3x-1)=0
3x-1=0; x-8=0
x1= 1/3; x2=8
դ) (x-1)*(x-2)=(3x+1)*(x-2)
x2-2x-x+2=3x2-6x+x-2
x2-3x+2-3x2+5x+2=0
-2x2+2x+4=0
x2-x-2=0
x*(x+1)*-2(x+1)=0
x+1=0; x-2=0
x1= -1; x2=2
ե) x2/5-2x/3=x+5/6
6x2-20x=5*(x+5)
6x2-25x-25=0
x*(6x+5)-5*(6x+5)=0
6x+5=0; x-5=0
x1= -5/6; x2=5
զ) 5*(x2-1)/4=x/6-2
Լուծում չունի ⊘
է) x2/6-2x/3=3x-10/4
2x2-8x=3*(3x-10)
2x2-8x-9x+30=0
2x2-17x+30=0
x*(2x-5)-6*(2x-5)=0
2x-5=0; x-6=0
x1= 5/2; x2=6
ը) x-3/4+2x+3/6=x2-11/12
3*(x-3)+2*(2x+3)=x2-11
7x-3=x2-11
7x+8-x2=0
x*(x+1)-8*(x+1)=0
(x+1)*(x-8)=0
x+1=0; x-8=0
x1= -1; x2=8
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