Question

1/x + 1/y=1/24

Answer 1

\(\frac{1}{x}+\frac{1}{y}=\frac{1}{24}\)

\(\Rightarrow\frac{y}{xy}+\frac{x}{xy}=\frac{1}{24}\Rightarrow\frac{x+y}{xy}=\frac{1}{24}\Rightarrow\left(x+y\right).24=xy\Rightarrow24x+24y=xy\)

\(\Rightarrow24x+24y-xy=0\Rightarrow24x-xy+24y=0\)

\(\Rightarrow x\left(24-y\right)-24\left(24-y\right)+24.24=0\)

\(\Rightarrow\left(x-24\right)\left(24-y\right)=0-576=-576\)

tới đây tự lm tiếp nhé