[(m-3)/(m+5)]^2+[(4-2m)/(m+5)]^2=1,求m

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[(m-3)/(m+5)]^2+[(4-2m)/(m+5)]^2=1,求m
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[(m-3)/(m+5)]^2+[(4-2m)/(m+5)]^2=1,求m
[(m-3)/(m+5)]^2+[(4-2m)/(m+5)]^2=1,求m

[(m-3)/(m+5)]^2+[(4-2m)/(m+5)]^2=1,求m
[(m-3)/(m+5)]^2+[(4-2m)/(m+5)]^2=1
(m-3)²+ (4-2m)² = (m+5)²
m²-6m + 9 + 16 + 4m² - 16m = m²+10m+25
4m² -32m =0
m²-8m=0
m(m-8) =0
m=0 或者 8

(m-3)²+(4-2m)²=(m+5)²
m²-6m+9+4m²-16m+16=m²+10m+25
4m²-32m=0
∴m=0 m=8
检验：m=0，m=8是方程的解

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