1) 5x^2 - 15x - x - 3 =0
Объяснение:
1) D= b^2-4ac= 196+60= 256 = 16^2
x1= -14+16/10= 1/5
x2= - 14-16/10= - 3
2) D=25-16=9=3^2
x1= 5+3/2=8/2=4
x2= 5-3/2=2/2=1
3) 10x^2 + 5x-3/5=0
50x^2 +25x-3=0
D= 625+600=1225=35^2
x1= -25+35/100= 1/10
x2= - 25-35/100= - 3/5
4) x^2 +6x-5x=0
x^2+x=0
D= 1=1^2
x1= - 1+1/2=0
x2= - 1-1/2=-1
5) 2-3x-5x^2=0
-5x^2-3x+2=0
5x^2+3x-2=0
D=40+9=49=7^2
x1=-3+7/10= 2/5
x2=-3-7/10= - 1
6) x^2-4x+4=3x-8
x^2-4x+4-3x+8=0
x^2-7x+12=0
D=49-48=1=1^2
x1=7+1/2= 4
x2=7-1/2= 3
7) 5(x^2+4x+4)= -50
5x^2+20x+20= -50
5x^2+20x+20-50=0
5x^2+20x+70=0
x^2+4x+14=0
D= 16-56=-40 - корней нет
y(x)= -4
-4 = -2x^2+5x+3
-2x^2+5x+3 + 4 =0
-2x^2+5x+7=0
D=25+56=81
x1=(-5+9)/(-4)=-1
x2=(-5-9)/(-4)=7/2