若函数f(x)满足f(x^2)+2x^2+10x=2xf(x+1)+3,则f(x)=?如何设f(x),求详解

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若函数f(x)满足f(x^2)+2x^2+10x=2xf(x+1)+3,则f(x)=?如何设f(x),求详解若函数f(x)满足f(x^2)+2x^2+10x=2xf(x+1)+3,则f(x)=?如何设

若函数f(x)满足f(x^2)+2x^2+10x=2xf(x+1)+3,则f(x)=?如何设f(x),求详解
若函数f(x)满足f(x^2)+2x^2+10x=2xf(x+1)+3,则f(x)=?
如何设f(x),求详解

若函数f(x)满足f(x^2)+2x^2+10x=2xf(x+1)+3,则f(x)=?如何设f(x),求详解
设f(x)=ax+b
ax^2+b+2x^2+10x=2x(ax+a+b)+3
(a+2)x^2=2ax^2
2(a+b)=10
b=3
=>a=2 b=3
f(x)=2x+3

不懂

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