Question

2x - 1/2 -1/6 -1/12-....-1/49.50 = 7 - 1/50 + x. Tìm x

Answer 1

2x - \(\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-....-\frac{1}{49.50}\)= 7-\(\frac{1}{50}\)+x

2x - x - \(\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{49.50}\right)\)= 7 - \(\frac{1}{50}\)

x - \(\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\right)\)= \(\frac{349}{50}\)

x - \(\left(1-\frac{1}{50}\right)\)=\(\frac{349}{50}\)

x - \(\frac{49}{50}\)=\(\frac{349}{50}\)

x = \(\frac{349}{50}+\frac{49}{50}\)

x = \(\frac{199}{25}\)