Question

Giải hpt Camon trc

Answer 1

x+y=55

=>y=55-x

\(\frac{110}{x}-\frac{110}{y}=\frac{11}{15}\)

=>\(\frac{10}{x}-\frac{10}{y}=\frac{1}{15}\)

=>\(\frac{10y-10x}{xy}=\frac{1}{15}\)

=>\(\frac{10\left(55-x\right)-10x}{x\left(55-x\right)}=\frac{1}{15}\)

=>x(55-x)=15(550-10x-10x)

=>\(x\left(55-x\right)=15\left(-20x+550\right)\)

=>\(55x-x^2=-300x+8250\)

=>\(-300x+8250-55x+x^2=0\)

=>\(x^2-355x+8250=0\)

=>(x-330)(x-25)=0

=>x=330(nhận) hoặc x=25(nhận)

Khi x=25 thì y=55-x=55-25=30

Khi x=330 thì y=55-330=-275