tính
57686-18549
35829-9848
59309-98
6789-98
9+8+9+8+9+8+98+98+98+98+98+89+89+9
bằng 728 nha bạn
98 nhân 98 + 98 + 98
So sánh :
C= \(\dfrac{98^{99}+1}{98^{89}+1}\) và D = \(\dfrac{98^{98}+1}{98^{88}+1}\)
\(C-D=\dfrac{\left(98^{99}+1\right)\left(98^{88}+1\right)-\left(98^{89}+1\right)\left(98^{98}+1\right)}{\left(98^{89}+1\right)\left(98^{88}+1\right)}\)
\(=\dfrac{98^{187}+98^{99}+98^{88}+1-98^{197}-98^{89}-98^{98}-1}{\left(98^{89}+1\right)\left(98^{88}+1\right)}\)
\(=\dfrac{98^{99}-98^{98}+98^{88}-98^{89}}{\left(98^{89}+1\right)\left(98^{88}+1\right)}=\dfrac{98^{98}\left(98-1\right)-98^{88}\left(98-1\right)}{\left(98^{89}+1\right)\left(98^{88}+1\right)}\)
\(=\dfrac{97.98^{98}-97.98^{88}}{\left(98^{89}+1\right)\left(98^{88}+1\right)}=\dfrac{97.98^{88}\left(98^{10}-1\right)}{\left(98^{89}+1\right)\left(98^{88}+1\right)}>0\)
\(\Rightarrow C>D\)
De bai: So sánh.C=98^99+1/98^89+1; D=98^98+1/98^88+1.
C=98^99+1/98^89+1 va D=98^98+1/98^88+1. So sanh C va D
C=98^99+1/98^89+1 va D=98^98+1/98^88+1. So sanh C va D
Giúp tớ với ngày kia tớ kiểm tra rồi
#Bạn gì ơi,bài này có giáo viên làm rồi nhé,link đây: https://olm.vn/hoi-dap/detail/36594660334.html
#C > D
18 - 35 + 98 - 97 + 54 - 98 - 98 + 65 - 89 + 12 - 43 + 89 + 98
So sánh : C = 9899+1/9889+1
D = 9898+1/9888+1
so sánh : C=98^99+1/98^89+1
D=98^98+1/98^88+1
\(C=\frac{98^{99}+1}{98^{89}+1}\)
\(D=\frac{98^{98}+1}{98^{88}+1}\)
\(C< \frac{98^{99}+1+97}{98^{89}+1+97}=\frac{98^{99}+98}{98^{89}+98}=\frac{98^{98}\left(98+1\right)}{98^{88}\left(98+1\right)}\)
\(C< \frac{98^{98}}{98^{88}}=D\)
so sánh
\(\frac{98^{99}+1}{98^{89}+1}\)và \(\frac{-98^{98}-1}{-98^{88}-1}\)
\(A=\frac{-\left(98^{98}+1\right)}{-\left(98^{88}+1\right)}=\frac{98^{98}+1}{98^{88}+1}\)
\(B=\frac{98^{99}+1}{98^{89}+1}\)
A-1=\(\frac{98^{98}-98^{88}}{98^{88}+1}=\frac{98^{88}.\left(98^{10}-1\right)}{98^{88}+1}\)
B-1=\(\frac{98^{99}-98^{89}}{98^{89}+1}=\frac{98^{89}.\left(98^{10}-1\right)}{98^{89}+1}\)
=>\(\frac{A-1}{B-1}=\frac{98^{88}.\left(98^{10}-1\right)}{98^{88}+1}.\frac{98^{89}+1}{98^{89}.\left(98^{10}-1\right)}=\frac{98^{89}+1}{98.\left(98^{88}+1\right)}=\frac{98^{89}+1}{98^{89}+98}< 1\)
->A-1<B-1
->A<B