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
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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