实数abc满足(1/a+b)(1/a+c)+1/4(b-c)^2=0,求ab+ac的值
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![实数abc满足(1/a+b)(1/a+c)+1/4(b-c)^2=0,求ab+ac的值](/uploads/image/z/2504728-64-8.jpg?t=%E5%AE%9E%E6%95%B0abc%E6%BB%A1%E8%B6%B3%281%2Fa%2Bb%29%281%2Fa%2Bc%29%2B1%2F4%28b-c%29%5E2%3D0%2C%E6%B1%82ab%2Bac%E7%9A%84%E5%80%BC)
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实数abc满足(1/a+b)(1/a+c)+1/4(b-c)^2=0,求ab+ac的值
实数abc满足(1/a+b)(1/a+c)+1/4(b-c)^2=0,求ab+ac的值
实数abc满足(1/a+b)(1/a+c)+1/4(b-c)^2=0,求ab+ac的值
将括号全打开,整理得1/a^2+(b+c)/a+(b+c)^2/4=0,在等号两边同时乘以a^2即去分母得,1+a(b+c)+a(b+c)^2/4=0,设所求为x,则1+X+X^2/4=0,可得所求值为X=-2