解方程x^2+2mx-n^2=0(x为未知数)

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解方程x^2+2mx-n^2=0(x为未知数)解方程x^2+2mx-n^2=0(x为未知数)解方程x^2+2mx-n^2=0(x为未知数)x^2+2mx-m^2=0(x-m)^2=0x=mx^2+2m

解方程x^2+2mx-n^2=0(x为未知数)
解方程x^2+2mx-n^2=0(x为未知数)

解方程x^2+2mx-n^2=0(x为未知数)
x^2+2mx-m^2=0
(x-m)^2=0
x=m

x^2+2mx-n^2=0
<=>x^2+2mx+m^2=m^2+n^2
<=>(x+m)^2=m^2+n^2
<=>x+m=正负根号下(m^2+n^2)
所以x=正负根号下(m^2+n^2)-m

x^2+2mx-n^2=0
=>x^2+2mx+m^2=m^2+n^2
=>(x+m)^2=m^2+n^2
=>x+m=正负根号下(m^2+n^2)
所以x=正负根号下(m^2+n^2)-m