(x+1)/99 + (x+3)/97 + (x+5)/95 = (x+7)/93 + (x+9)/91 + (x+11)/89 20/07/2021 Bởi Anna (x+1)/99 + (x+3)/97 + (x+5)/95 = (x+7)/93 + (x+9)/91 + (x+11)/89
$\frac{x+1}{99}+$ $\frac{x+3}{97}+$ $\frac{x+5}{95}=$ $\frac{x+7}{93}+$ $\frac{x+9}{91}+$ $\frac{x+11}{89}$ <=>$(\frac{x+1}{99}+1)+$ $(\frac{x+3}{97}+1)+($ $(\frac{x+5}{95}+1)-$ $(\frac{x+7}{93}+1)-($ $\frac{x+9}{91}+1)-($ $\frac{x+11}{89}+1)=0$ <=>$\frac{x+100}{99}+$ $\frac{x+100}{97}+$ $\frac{x+100}{95}-$ $\frac{x+100}{93}-$ $\frac{x+100}{91}-$ $\frac{x+100}{89}=0$ <=>$(x+100)($$\frac{1}{99}+$ $\frac{1}{97}+$ $\frac{1}{95}-$ $\frac{1}{93}-$ $\frac{1}{91}-$ $\frac{1}{89})=0$ <=>$x+100=0$ <=>$x=-100$ Bình luận
Đáp án:x=-100 Giải thích các bước giải: (x+1)/99 + (x+3)/97 + (x+5)/95 = (x+7)/93 + (x+9)/91 + (x+11)/89 ⇔((x+1)/99 +1)+((x+3)/97 +1)+((x+5)/95+1)=((x+7)/93+1)+((x+9)/91+1)+((x+11)/89+1) ⇔(x+100)/99 + (x+100)/97 + (x+100)/95 = (x+100)/93 + (x+100)/91 + (x+100)/89 ⇔(x+100) (1/99+1/97+1/95-1/93-1/91-1/89)=0 ⇔x+100=0 ⇔x=-100 Bình luận
$\frac{x+1}{99}+$ $\frac{x+3}{97}+$ $\frac{x+5}{95}=$ $\frac{x+7}{93}+$ $\frac{x+9}{91}+$ $\frac{x+11}{89}$
<=>$(\frac{x+1}{99}+1)+$ $(\frac{x+3}{97}+1)+($ $(\frac{x+5}{95}+1)-$ $(\frac{x+7}{93}+1)-($ $\frac{x+9}{91}+1)-($ $\frac{x+11}{89}+1)=0$ <=>$\frac{x+100}{99}+$ $\frac{x+100}{97}+$ $\frac{x+100}{95}-$ $\frac{x+100}{93}-$ $\frac{x+100}{91}-$ $\frac{x+100}{89}=0$
<=>$(x+100)($$\frac{1}{99}+$ $\frac{1}{97}+$ $\frac{1}{95}-$ $\frac{1}{93}-$ $\frac{1}{91}-$ $\frac{1}{89})=0$
<=>$x+100=0$
<=>$x=-100$
Đáp án:x=-100
Giải thích các bước giải:
(x+1)/99 + (x+3)/97 + (x+5)/95 = (x+7)/93 + (x+9)/91 + (x+11)/89
⇔((x+1)/99 +1)+((x+3)/97 +1)+((x+5)/95+1)=((x+7)/93+1)+((x+9)/91+1)+((x+11)/89+1)
⇔(x+100)/99 + (x+100)/97 + (x+100)/95 = (x+100)/93 + (x+100)/91 + (x+100)/89
⇔(x+100) (1/99+1/97+1/95-1/93-1/91-1/89)=0
⇔x+100=0
⇔x=-100