Question Number 100391 by Ar Brandon last updated on 26/Jun/20

   Determine the coordinates where the function f(x)=ax^2 +bx+c  admits a local point.

Answered by MJS last updated on 26/Jun/20

ax^2 +bx+c=x  ax^2 +(b−1)x+c=0  x=((1−b)/(2a))±((√((b−1)^2 −4ac))/(2a))  (b−1)^2 −4ac=D  ⇒  { ((D<0 ⇒ no local point)),((D=0 ⇒ 1 local point)),((D>0 ⇒ 2 local points )) :}

Commented byAr Brandon last updated on 26/Jun/20

Thanks Sir💞