Question

rezolvati ecuatia (x+2012)/(2013)+(x+2013)/(2014)+(x+2014)/(2015)+(x+2015)/(2016)=4

Answer 1

Răspuns:

$\frac{x+2012}{2013}+\frac{x+2013}{2014}+\frac{x+2014}{2015}+\frac{x+2015}{2016}=4$

$\frac{x}{2013}+\frac{2012}{2013}+\frac{x}{2014}+\frac{2013}{2014}+\frac{x}{2015}+\frac{2014}{2015}+\frac{x}{2016}+\frac{2015}{2016}=4 /+\frac{1}{2013} +\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}$

$\frac{x}{2013}+1+\frac{x}{2014}+1+\frac{x}{2015}+1+\frac{x}{2016}+1=4+\frac{1}{2013} +\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}$

$x(\frac{1}{2013}+\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016})=4-4+\frac{1}{2013} +\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}$$x(\frac{1}{2013}+\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016})=\frac{1}{2013} +\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}$

x=1

Explicație pas cu pas: