(f(x)(f(x)+x))/(f(x))=x^2+1776x+2010

解

\frac{f ( x ) ( f ( x ) + x )}{f ( x )} = x^{2} + 1776 x + 2010

(h, k) = (- \frac{1775}{2}, - \frac{3142585}{4}), p = \frac{1}{4}

解答ステップ

\frac{y ( y + x )}{y} = x^{2} + 1776 x + 2010

\frac{y ( y + x )}{y} - x^{2} - 1776 x - 2010 = 0

を標準的な形式で書き換える

4 \cdot \frac{1}{4} (y - (- \frac{3142585}{4})) = (x - (- \frac{1775}{2}))^{2}

ゆえに放物線の特性は:

(h, k) = (- \frac{1775}{2}, - \frac{3142585}{4}), p = \frac{1}{4}