1. D=3²-4*1*(-4)=25
x1=3+5/2=4
x2=3-5/2=-1
2. D=10²-4*3*8=100-96=4
x1=10-2/2*3= 8/6=4/3
x2=10+2/6=2
3. D=(-1)²-4*1*(-6)=25
x1=1+5/2=3
x2= 1-5/2=-2
4. x²-9=0
D=0+36=36
x1=0+6/2=3
x1=0-6/2=-3
Объяснение:
1. x^2 - 3x - 4 = 0
D=(-3)²-4*1*(-4)=9+16=25
x1=(-(-3)-√25)/(2*1)=(3-5)/2=-2/2=-1
x2=(3+5)/2=8/2=4
(-1; 4)
2. 3x^2 - 10x + 8 = 0
D=100-96=4
x1=(10-2)/6=8/6=4/3=1 1/3
x2=(10+2)/6=12/6=2
(1 1/3; 2)
3. x^2 - x - 6 = 0
D=1+24=25
x1=(1-5)/2=-4/2=-2
x2=(1+5)/2=6/2=3
(-2; 3)
4. 3x^2 - 27 = 0
3x²/3 -27/3=0/3
x²-9=0
x1=(0-6)/2=-6/2=-3
x2=6/2=3
(-3; 3)
1. D=3²-4*1*(-4)=25
x1=3+5/2=4
x2=3-5/2=-1
2. D=10²-4*3*8=100-96=4
x1=10-2/2*3= 8/6=4/3
x2=10+2/6=2
3. D=(-1)²-4*1*(-6)=25
x1=1+5/2=3
x2= 1-5/2=-2
4. x²-9=0
D=0+36=36
x1=0+6/2=3
x1=0-6/2=-3
Объяснение:
1. x^2 - 3x - 4 = 0
D=(-3)²-4*1*(-4)=9+16=25
x1=(-(-3)-√25)/(2*1)=(3-5)/2=-2/2=-1
x2=(3+5)/2=8/2=4
(-1; 4)
2. 3x^2 - 10x + 8 = 0
D=100-96=4
x1=(10-2)/6=8/6=4/3=1 1/3
x2=(10+2)/6=12/6=2
(1 1/3; 2)
3. x^2 - x - 6 = 0
D=1+24=25
x1=(1-5)/2=-4/2=-2
x2=(1+5)/2=6/2=3
(-2; 3)
4. 3x^2 - 27 = 0
3x²/3 -27/3=0/3
x²-9=0
D=0+36=36
x1=(0-6)/2=-6/2=-3
x2=6/2=3
(-3; 3)