Question

Tìm x biết: \(\left(\frac{2}{11\times13}+\frac{2}{13\times15}+...+\frac{2}{19\times21}\right)462-\left[0,04\div\left(x+1,05\right)\right]\div0,12=19\)

Answer 1

Ta có : \(\left(\frac{2}{11.13}+\frac{2}{13.15}+...+\frac{2}{19.21}\right)642-\left[0,04:\left(x+1,05\right)\right]:0,12=19\)

=> \(\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+...+\frac{1}{19}-\frac{1}{21}\right)642-0,04:\left(x+1,05\right):0,12=19\)

=> 

Answer 2

(nãy bấm nhầm) tiếp nà :

=> \(\left(\frac{1}{11}-\frac{1}{21}\right)462-0,04:\left(x+1,05\right):0,12=19\)

=> \(\frac{10}{231}.462-0,04:\left(x+1,05\right):0,12=19\)

=> \(20-0,04:\left(x+1,05\right):0,12=19\)

=> 0,04 : (x + 1,05) : 0,12 = 1

=> 0,04 : (x + 1,05) = 0,12

=> \(x+1,05=\frac{1}{3}\) 

=> \(x=\frac{1}{3}-1,05=...\)

Answer 3

\(\left(\frac{2}{11.13}+\frac{2}{13.15}+...+\frac{2}{19.21}\right)562-\left[0,04:\left(x+1,05\right)\right]:0,12=19\)

\(\Rightarrow2.\frac{1}{2}\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+...+\frac{1}{19}-\frac{1}{21}\right)462-\left[0,04:\left(x+1,05\right)\right]:0,12=19\)

\(\Rightarrow\left(\frac{1}{11}-\frac{1}{21}\right)462-\left[0,04:\left(x+1,05\right)\right]:0,12=19\)

\(\Rightarrow\frac{10}{231}.462-\left[0,04:\left(x+1,05\right)\right]:0,12=19\)

\(\Rightarrow20-\left[0,04:\left(x+1,05\right)\right]0,12=19\)

\(\Rightarrow\left[0,04:\left(x+1,05\right)\right]:0,12=20-19=1\)

\(\Rightarrow0,04:\left(x+1,05\right)=1.0,12=0,12\)

\(\Rightarrow x+1,05=0,04:0,12=\frac{1}{3}\)

\(\Rightarrow x=\frac{1}{3}-1,05=\frac{1}{3}-\frac{105}{100}=-\frac{43}{60}\)

(Làm vậy đúng không?)