A = 1 x 99 + 3 x 97 + 5 x 95 + ... + 49 x 51
Giải pt : ( x-1/99 +x-99 )+( x-3/97 + x-97/3 )+ (x-5/95 + x-95/5 )=6
\(\Leftrightarrow\left(\dfrac{x-1}{99}-1\right)+\left(\dfrac{x-99}{1}-1\right)+\left(\dfrac{x-3}{97}-1\right)+\left(\dfrac{x-97}{3}-1\right)+\left(\dfrac{x-5}{95}-1\right)+\left(\dfrac{x-95}{5}-1\right)=0\)
=>x-100=0
=>x=100
a,(x-1/99+x-99)+(x-3/97+x-7/93)+(x-5/95+x-95/5)=6
Giải phương trình:\(\dfrac{x+98}{2}\)+\(\dfrac{x+96}{4}\)+\(\dfrac{x+65}{35}\)=\(\dfrac{x+3}{97}\)+\(\dfrac{x+5}{95}\)+\(\dfrac{x+49}{51}\)
Pt\(\Leftrightarrow\dfrac{x+98}{2}+1+\dfrac{x+96}{4}+1+\dfrac{x+65}{35}+1=\dfrac{x+3}{97}+1+\dfrac{x+5}{95}+1+\dfrac{x+49}{51}+1\)
\(\Leftrightarrow\dfrac{x+100}{2}+\dfrac{x+100}{4}+\dfrac{x+100}{35}-\dfrac{x+100}{97}-\dfrac{x+100}{95}-\dfrac{x+100}{51}=0\)
\(\Leftrightarrow\left(x+100\right)\left(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{35}-\dfrac{1}{97}-\dfrac{1}{35}-\dfrac{1}{51}\right)=0\)
\(\Leftrightarrow x+100=0\Leftrightarrow x=-100\)
Vậy...
Tính B=1*3+5*7+9*11+...+97*101
C=1*3*5-3*5*7+5*7*9-....-97*99*101
D=1*99+3*97+5*95+...+49*51
E=1*3^3+3*5^3+5*7^3+...+49*51^3
F=1*99^2+2*98^2+3*97^2+...+49*51^2
cái này bạn mở sách bồi dưỡng toán ra trang gần cuối là thấy ngay ấy mà
A=1 . 99 + 3 . 97 + 5 . 95 + ... + 49 . 51
Ai đúng mình tick
A = 1 . 99 + 3 . 97 + 5 . 95 + ... + 49 . 51
A = [ 1 + 3 + 5 + ... + 49 ] . [ 99 + 97 + 95 + 51 ]
A = [ 49 - 1 ] : 2 + 1 = 25
[ 99 - 51 ] : 2 + 1 = 25
A = [ 1 + 49 ] . 25 : 2 = 625
[ 99 + 51 ] . 25 : 2 = 1875
=> A = 625 . 1875 = 1171875
(x-1/99+x-99)+(x-3/97+x-7/93)+(x-5/95+x-95/5)=6
Tính :
B = 1 x 3 x 5 - 3 x 5 x 7 + 5 x 7 x 9 - 7 x 9 x 11 + ... + 95 x 97 x 99 - 97 x 99 x 101
Tính:
a)1*4*7+4*7*10+7*10*13+....+100*103*106
b)1*4+4*7+7*10+.....+100*103
c)1*1*1+4*4*4+7*7*7+....+99*99*99
d)1*3*3*3+3*5*5*5+5*7*7*7+.....+49*51*51*51
e)1*99+2*98+3*97+......+50*50
f)1*99+3*97+5*95+....+49*51
Giúp mình nhé!
1 . 99 + 3 . 97 + 5 . 95 + ... + 49 . 51
Ai đúng mình tick