Объяснение:
1)x^2-6x+5=0
D=36-20=16
x1=(6+4)/2=5
x2=(6-4)/2=1
2)3x^2-8x+5=0
D=64-4•3•5=4
x1=(8+2)/6=10/6=5/3
x2=(8-2)/6=1
3)4x^2-10x-6=0
D=100-4•4•(-6)=196
x1=(10+14)/8=3
x2=(10-14)/8=-1/2
4)5x^2+4x-12=0
D=16-4•5•(-12)=256
x1=(-4+16)/10=12/10=6/5
x2=(-4-16)/10=-2
5)x^2+2sqrt(5)x-20=0
D=20-4•(-20)=100
x1=(-2sqrt(5)+10)/2=-2sqrt(5)+5
x2=(-2sqrt(5)-10)/2=-2sqrt(5)-5
sqrt-корень
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Объяснение:
1)x^2-6x+5=0
D=36-20=16
x1=(6+4)/2=5
x2=(6-4)/2=1
2)3x^2-8x+5=0
D=64-4•3•5=4
x1=(8+2)/6=10/6=5/3
x2=(8-2)/6=1
3)4x^2-10x-6=0
D=100-4•4•(-6)=196
x1=(10+14)/8=3
x2=(10-14)/8=-1/2
4)5x^2+4x-12=0
D=16-4•5•(-12)=256
x1=(-4+16)/10=12/10=6/5
x2=(-4-16)/10=-2
5)x^2+2sqrt(5)x-20=0
D=20-4•(-20)=100
x1=(-2sqrt(5)+10)/2=-2sqrt(5)+5
x2=(-2sqrt(5)-10)/2=-2sqrt(5)-5
sqrt-корень