Решите )уравнения 1.(3х-1)(х+2)=20 2. (х-4)(4х-3)+3=0 3. (х-3)^2+(х+4)^2-(х-5)^2=17х+24 4. (х+5)^2+(х-2)^2+(х-7)(х+7)=11х+80

1)(3х-1)(х+2)=20
3x²-x+6x-2-20=0
3x²+5x-22=0
D=25+264=289
√D=17
x₁=(-5+17)/(2*3)=12/6=2
x₂=(-5-17)/(2*3)=-22/6=-11/3=-3 целых 2/3

2)(х-4)(4х-3)+3=0
4x²-16x-3x+12+3=0
4x²-19x+15=0
D=361−4·4·15=361−240=121
√D=11
x₁=(19+11)/(2*4)=30/8=15\4==3 целых 3/4 или3,75
x₂=(19-11)/(2*4)=8/8=1

3)(х-3)²+(х+4)²-(х-5)²=17х+24
х²-6х+9+х²+8х+16-х²+10х-25-17х-24=0 
х²-5х-24=0 
D=25−4·1·(−24)=25+96=121
√D=11
x₁=(5+11)/2=16/2=8
x₂=(5-11)/2=-6/2=-3

4) (х+5)²+(х-2)²+(х-7)(х+7)=11х+80
x²+10x+25+x²-4х+4+х²-49-11х-80=0
3х²-5х-100=0
D=25-4*3*(-100)=25+1200=1225
√D=35
х₁=(5+35)/(2*3)=40/6=20/3=6 целых 2/3
х₂=(5-35)/(2*3)=-30/6=-5