2 + 3/(2+3/(2+3/(2 + .... Question from @Faisal22

Articles
Register

Faisal22 @Faisal22

October 2018 2 58 Report

2 + 3/(2+3/(2+3/(2 + ....

Nanybaho 2 + 3/(2+3/(2+3/(2 + 3 )

1 votes Thanks 0

fatihahalhusna $\displaystyle misalkan: 2+\frac{3}{2+\frac{3}{2+...}}=X,\\\\maka:~~~\\\\2+\frac{3}{X}=X\\2X+3=X^2\\X^2-2X-3=0\\(X-3)(X+1)=0\\X=3\ dan X=-1~~(Tidak\ memenuhi)\\Jadi:\\\\~~~~~~~~~~~~~~~~\boxed{\boxed{\bold{2+\frac{3}{2+\frac{3}{2+...}}=\boxed{3}}}}$

0 votes Thanks 0