Question

[duong thi hong an]

Tim x, biet:     

                       \(\frac{x+5}{95}\)+ \(\frac{x+6}{94}\)+\(\frac{x+7}{93}\)+\(\frac{x+8}{92}\)+ \(\frac{x+9}{91}\)= -5

Giai giup minh nhe! Cam on!

Answer 1

[nu hoang tu do]

\(\frac{x+5}{95}\)+\(\frac{x+6}{94}\)+\(\frac{x+7}{93}\)+\(\frac{x+8}{92}\)+\(\frac{x+9}{91}\)= -5

\(\frac{x+5}{95}\)+\(\frac{x+6}{94}\)+\(\frac{x+7}{93}\)+\(\frac{x+8}{92}\)+\(\frac{x+9}{91}\)+ 5 = 0

\(\left(\frac{x+5}{95}+1\right)\)+ \(\left(\frac{x+6}{94}+1\right)+\left(\frac{x+7}{93}+1\right)+\left(\frac{x+8}{92}+1\right)+\left(\frac{x+9}{91}+1\right)=0\)

\(\frac{x+5+95}{95}+\frac{x+6+94}{94}+\frac{x+7+93}{93}+\frac{x+8+92}{92}+\frac{x+9+91}{91}=0\)

\(\frac{x+100}{95}+\frac{x+100}{94}+\frac{x+100}{93}+\frac{x+100}{92}+\frac{x+100}{91}\)

\(\left(x+100\right)\left(\frac{1}{95}+\frac{1}{94}+\frac{1}{93}+\frac{1}{92}+\frac{1}{91}\right)=0\)

                          SUY RA         \(x+100=0\)

                                                \(x=-100\)

                                    VẬY:   \(x=-100\)

Chúc bạn học tốt!

Answer 2

[Vũ Khắc Hùng]

Túc là hạnh phúc