\(\left(x-1\right)^2=49\)

\(\Leftrightarrow\orbr{\begin{cases}x-1=49\\x-1=-49\end{cases}\Leftrightarrow\orbr{\begin{cases}x=50\\x=-48\end{cases}}}\)

                              Đáp án là (8-1)^2=49

xin lỗi nhé. Mình làm sai rồi

\(A=\left(\dfrac{1}{49}-\dfrac{1}{2^2}\right)\left(\dfrac{1}{49}-\dfrac{1}{3^2}\right)\cdot...\cdot\left(\dfrac{1}{49}-\dfrac{1}{100^2}\right)\)

\(=\left(\dfrac{1}{49}-\dfrac{1}{7^2}\right)\left(\dfrac{1}{49}-\dfrac{1}{2^2}\right)\cdot...\cdot\left(\dfrac{1}{49}-\dfrac{1}{100^2}\right)\)

\(=\left(\dfrac{1}{49}-\dfrac{1}{49}\right)\left(\dfrac{1}{49}-\dfrac{1}{4}\right)\cdot...\cdot\left(\dfrac{1}{49}-\dfrac{1}{10000}\right)\)

=0

\(\frac{6}{1.3}+\frac{6}{3.5}+\frac{6}{5.7}+...+\frac{6}{49.51}\)

\(=3\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{49.51}\right)\)

\(=3\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{49}-\frac{1}{51}\right)\)

\(=3\left(1-\frac{1}{51}\right)\)

\(=3.\frac{50}{51}\)

Chúc bn hok tốt

\(\frac{6}{1\cdot3}+\frac{6}{3\cdot5}+\frac{6}{5\cdot7}+...+\frac{6}{49\cdot51}\)

\(=3\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+...+\frac{2}{49\cdot51}\right)\)

\(=3\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{49}-\frac{1}{51}\right)\)

\(=3\left(1-\frac{1}{51}\right)\)

\(=3\cdot\frac{50}{51}\)

\(=\frac{50}{17}\)

Đặt \(A=\frac{6}{1.3}+\frac{6}{3.5}+\frac{6}{5.7}+.........+\frac{6}{49.51}\)

\(A=\frac{6}{1.3}+\frac{6}{3.5}+\frac{6}{5.7}+........+\frac{6}{49.51}\)

\(=6\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+..........+\frac{1}{49.51}\right)\)

\(=\left(6.\frac{1}{2}\right)\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+........+\frac{2}{49.51}\right)\)

\(=3\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-........-\frac{1}{51}\right)\)

\(=3\left(1-\frac{1}{51}\right)\)

\(=3\left(\frac{51}{51}-\frac{1}{51}\right)\)

\(=3.\frac{50}{51}\)

\(=\frac{150}{51}\)

Vậy \(A=\frac{150}{51}\)

876,98+(875,876):775-6=872,1101

6778+78.87=6856,87

51+7,5-49-(-7,5)=17

dễ qá ak

ko làm đc

okkkkk

876.98+(875.876):775-6 = 872.1101

6778+78.87= 6856 87

51+7,5-49-(-7,5) = 17

Bài 50:

1: \(\left(4-x\right)^2-16=0\)

\(\Leftrightarrow x\left(x-8\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=8\end{matrix}\right.\)

3: \(x^2-6x+9-16=0\)

\(\Leftrightarrow\left(x-7\right)\left(x+1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=7\\x=-1\end{matrix}\right.\)

Không vì 24/49 là phân số tối giản nên là số thập phân

Ta thấy 50 + 51<51 + 52

Suy ra ; 45^50+49^51<49^51+ 49^52