An algebra problem by Lakshya Kumar

Algebra Level 3

Let $$F(x)=3x^2 - 7x+C$$.

where C is variable coefficient and $$x>7/6$$.

Then the value of C such That F(x) touches $$G(x)=1/(6 )(√(12x+49-12c) +7)$$. then find value of [C] .

$$\bullet$$ where$$[ . ]$$. represents greatest integer function

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