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alia07jk
@alia07jk
July 2022
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Silverpain
1) a+b+c=0, b=-(a+c)
ax^2+bx+c=0
D=b^2-4ac=a^2+2ac+c^2-4ac=(a-c)^2
x1=(-b-a+c)/2a=(a+c-a+c)/2a=c/a
x2=(-b+a-c)/2a=(a+c+a-c)/2a=1
2) a-b+c=0, b=a+c
ax^2+bx+c=0
D=b^2-4ac=a^2+2ac+c^2-4ac=(a-c)^2
x1=(-b-a+c)/2a=(-a-c-a+c)/2a=-1
x2=(-b+a-c)/2a=(-a-c+a-c)/2a=-c/a
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Answers & Comments
ax^2+bx+c=0
D=b^2-4ac=a^2+2ac+c^2-4ac=(a-c)^2
x1=(-b-a+c)/2a=(a+c-a+c)/2a=c/a
x2=(-b+a-c)/2a=(a+c+a-c)/2a=1
2) a-b+c=0, b=a+c
ax^2+bx+c=0
D=b^2-4ac=a^2+2ac+c^2-4ac=(a-c)^2
x1=(-b-a+c)/2a=(-a-c-a+c)/2a=-1
x2=(-b+a-c)/2a=(-a-c+a-c)/2a=-c/a