try it out
Number Theory
Level
1
(x-b)(x-c)/(a-b)(a-c) + (x-c)(x-a)/(b-c)(b-a) + (x-a)(x-b)/(c-a)(c-b) =
The answer is 1.0.
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1 solution
f(x)=1 for a,b,c . So , as it is a quadratic equation and f(x)-1 is equal to 0 for thee values thus it becomes an identity. f(x)-1=0 {always} so f(x)=1, always , for all real x