Aprenda online a resolver problemas passo a passo. Resolva a equação (x^2)/9+(y^2)/49=1. Aplicamos a regra: \frac{a}{b}+\frac{c}{f}=g\to \frac{a}{b}lcm\left(b,f\right)+\frac{c}{f}lcm\left(b,f\right)=glcm\left(b,f\right), onde a=x^2, b=9, c=y^2, a/b=\frac{x^2}{9}, f=49, g=1, a/b+c/f=\frac{x^2}{9}+\frac{y^2}{49}, c/f=\frac{y^2}{49} e a/b+c/f=g=\frac{x^2}{9}+\frac{y^2}{49}=1. Aplicamos a regra: m\frac{a}{b}+n\frac{c}{f}=g\to \frac{m}{b}a+\frac{n}{f}c=g, onde a=x^2, b=9, c=y^2, f=49, g=441\cdot 1, m=441, n=441, ma/b=441\left(\frac{x^2}{9}\right), a/b=\frac{x^2}{9}, ma/b+nc/f=441\left(\frac{x^2}{9}\right)+441\left(\frac{y^2}{49}\right), ma/b+nc/f=g=441\left(\frac{x^2}{9}\right)+441\left(\frac{y^2}{49}\right)=441\cdot 1, c/f=\frac{y^2}{49} e nc/f=441\left(\frac{y^2}{49}\right). Aplicamos a regra: ab=ab, onde ab=441\cdot 1, a=441 e b=1. Aplicamos a regra: \frac{a}{b}=\frac{a}{b}, onde a=441, b=9 e a/b=\frac{441}{9}.