1.
а) (x+2)(3x-4)=0
3x^2+6x-4x-8=0
D=4+96=100
X1= -2-10/6= -2
X2= -2+10/6= 1 1/3 ( одна целая одна третяя)
б)(x-1)^2-4=0
x^2-1x+1-4=0
D=1+12=13
X1=1-✓13/2
X2=1+✓13/2
2.
а)x^2-27=0
x^2=27
x=✓27
б)4x^2=12
x^2=3
x=✓3
3.
а)x^2-8x+12=0
D=64-48=16
x1=8-4/2=2
x2=8+4/2=6
б)x2+2x-15=0
D=4+60=64
X1=-2-8/2=-5
X2=-2+8/2=3
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Answers & Comments
1.
а) (x+2)(3x-4)=0
3x^2+6x-4x-8=0
D=4+96=100
X1= -2-10/6= -2
X2= -2+10/6= 1 1/3 ( одна целая одна третяя)
б)(x-1)^2-4=0
x^2-1x+1-4=0
D=1+12=13
X1=1-✓13/2
X2=1+✓13/2
2.
а)x^2-27=0
x^2=27
x=✓27
б)4x^2=12
x^2=3
x=✓3
3.
а)x^2-8x+12=0
D=64-48=16
x1=8-4/2=2
x2=8+4/2=6
б)x2+2x-15=0
D=4+60=64
X1=-2-8/2=-5
X2=-2+8/2=3