(1/(x^2))=(1/(h(x,y)))+(1/y)

解

解く

x, (\frac{1}{x ^{2}}) = (\frac{1}{h}) + (\frac{1}{y})

x = \frac{h y}{y + h}, x = - \frac{h y}{y + h}; h y \neq = 0, h \neq = - y

解答ステップ

(\frac{1}{x ^{2}}) = (\frac{1}{h}) + (\frac{1}{y})

簡素化

(\frac{1}{x ^{2}}) : \frac{1}{x ^{2}}

\frac{1}{x ^{2}} = \frac{1}{h} + \frac{1}{y}

以下で両辺を乗じる:

x^{2}

1 = \frac{x ^{2}}{h} + \frac{x ^{2}}{y}

解く

1 = \frac{x ^{2}}{h} + \frac{x ^{2}}{y} : x = \frac{h y}{y + h}, x = - \frac{h y}{y + h}; h y \neq = 0, h \neq = - y

x = \frac{h y}{y + h}, x = - \frac{h y}{y + h}; h y \neq = 0, h \neq = - y