1. Tardigrade
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  4. The equation (a(x-b)(x-c)/(a-b)(a-c))+(b(x-c)(x-a)/(b-c)(b-a))+(c(x-a)(x-b)/(c-a)(c-b))=x is satisfied b y :

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Q. The equation $\frac{a(x-b)(x-c)}{(a-b)(a-c)}+\frac{b(x-c)(x-a)}{(b-c)(b-a)}+\frac{c(x-a)(x-b)}{(c-a)(c-b)}=x$ is satisfied $b y$ :

Complex Numbers and Quadratic Equations

Solution:

Note that $x = a$ or $b$ or $c$ satisfy more than two roots $\Rightarrow$ identity