Do you know how to draw targent lines?

Calculus Level 3

Let the point P ( a b , c ) P(\frac{a}{b}, c) be the intersection point of the targent lines to f ( x ) = x 2 f(x) =- x^2 and g ( x ) = ( x 3 ) 2 g(x) = (x - 3)^2 . Find the value of a + b + c a+b+c

5 There is only one targent line 2 4 3

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