Solve for x in terms of m
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Solve for x in terms of m
2m(1 + x^2)-(1 +m^2)(x + m) = 0:
2m(1 + x^2)-(1 +m^2)(x + m) = 0:
由2m(1+x²)-(1+m²)(x+m)=0
2m+2mx²-x-m-m²x-m³=0
(2mx²-m²x-m³)-(x-m)=0
(2mx+m²)(x-m)-(x-m)=0(前面用十字相乘法)
(x-m)(2mx+m²-1)=0
∴x1=m, x2=(1-m²)/2m.
2m+2mx²-x-m-m²x-m³=0
(2mx²-m²x-m³)-(x-m)=0
(2mx+m²)(x-m)-(x-m)=0(前面用十字相乘法)
(x-m)(2mx+m²-1)=0
∴x1=m, x2=(1-m²)/2m.
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