Question 602028
if the coefficient of the squared term is one (as in this case)


the constant term for the "perfect" square is ___ half of the 1st order coefficient, squared


f^2 + 3f + (3/2)^2 = 88 + (3/2)^2


(f + 3/2)^2 = 88 + (9/4) = 361/4


taking square root ___ f + 3/2 = ħsqrt(361/4) ___ (don't forget ħ)


f + 3/2 = ħ19/2


f = 19/2 - 3/2 = 8 , f = -19/2 - 3/2 = -11



if the coefficient of the squared term is not one; then the 1st step is to divide by the coefficient