Question

[Vu Manh Hieu]

gia tri x thoa man x/2+x/4+x/2016=x/3+x/5+x/2017
 jup gap vs dap an thoi

Answer 1

[soyeon_Tiểu bàng giải]

x/2 + x/4 + x/2016 = x/3 + x/5 + x/2017

=> x/2 + x/4 + x/2016 - x/3 - x/5 - x/2017 = 0

=> x.(1/2 + 1/4 + 1/2016 - 1/3 - 1/5 - 1/2017) = 0

Vì 1/2 > 1/3; 1/4 > 1/5; 1/2016 > 1/2017

=> 1/2 + 1/4 + 1/2016 - 1/3 - 1/5 - 1/2017 khác 0

=> x = 0

Answer 2

[Trịnh Xuân Diện]

Ta có:

\(\frac{x}{2}+\frac{x}{4}+\frac{x}{2016}=\frac{x}{3}+\frac{x}{5}+\frac{x}{2017}\)

=>\(\frac{x}{2}+\frac{x}{4}+\frac{x}{2016}-\frac{x}{3}-\frac{x}{5}-\frac{x}{2017}=0\)

=>\(x.\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{2016}-\frac{1}{3}-\frac{1}{5}-\frac{1}{2017}\right)=0\)

áp dụng t/c : A.B=0 =>hoặc A=0 hoặc B=0 ta có:

Vì \(\frac{1}{2}+\frac{1}{4}+\frac{1}{2016}-\frac{1}{3}-\frac{1}{5}-\frac{1}{2017}\ne0\)

=>x=0