Ответ:
Объяснение:
1)
a) (m+n)/(m-n) - (m-n)/(m+n)=
=(m+n)(m+n)-(m-n)(m-n) / (m-n)(m+n)=
=(m+n)²-(m-n)² / (m²-n²) =
=(m+n+m-n)(m+n-m+n) /(m²-n² =
= 2m*2n /(m²-n²)=
=4mn/(m²-n²)
b)
4y/(y²-x²) - 2/(y-x)= 4y/(y-x)(y+x) - 2/(y-x) =
=(4y-2(y+x) /(y-x)(y+x) = (4y-2y-2x) /(y-x)(y+x) =
=(2y-2x)/(y-x)(y+x) =2(y-x)/(y-x)(y+x) = 2/(y+x)
c)
x²+7x+12=0
Δ=49-48=1
VΔ=1
x1=(-7+1)/2=-6/2=-3
x2=(-7-1)/2=-8/2=-4
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Answers & Comments
Ответ:
Объяснение:
1)
a) (m+n)/(m-n) - (m-n)/(m+n)=
=(m+n)(m+n)-(m-n)(m-n) / (m-n)(m+n)=
=(m+n)²-(m-n)² / (m²-n²) =
=(m+n+m-n)(m+n-m+n) /(m²-n² =
= 2m*2n /(m²-n²)=
=4mn/(m²-n²)
b)
4y/(y²-x²) - 2/(y-x)= 4y/(y-x)(y+x) - 2/(y-x) =
=(4y-2(y+x) /(y-x)(y+x) = (4y-2y-2x) /(y-x)(y+x) =
=(2y-2x)/(y-x)(y+x) =2(y-x)/(y-x)(y+x) = 2/(y+x)
c)
x²+7x+12=0
Δ=49-48=1
VΔ=1
x1=(-7+1)/2=-6/2=-3
x2=(-7-1)/2=-8/2=-4