2×x+1=15
Giá trị cảu số hữu tỉ x thỏa mãn đẳng thức : (3x+1/5).(x-1/2) = 0 là
A. x = -1/15 và x = 1/2 B. x = 1/15 và x= -1/2
C. x= 1/2 D. x=-1/15
Tính giá trị biểu thức sau:
A = ( 12+1+1 ) x 1! + ( 22+2+1) x 2! + ... + ( 152+15+1 ) x 15!
Các bạn tính nhanh ( nhanh và đúng nhất mik tick nha ) :
( 15 x 15 ) : 2 x ( 15 x 15 ) : 2 x ( 15 x 15 ) : 2 + ( 0 + 1 + 2 + 2 + 3 + 45 ) x 0 = ?
TL :
( 15 x 15 ) : 2 x ( 15 x 15 ) : 2 x ( 15 x 15 ) : 2 + ( 0 + 1 + 2 + 2 + 3 + 45 ) x 0
= 0
=> vì : tất cả số nào nhân vs 0 đều = 0
_HT_
1423828.125
- ht -
1 / 2 x 1/ 2 - 13 x 13 + 1/15 x 1/ 15 = ?
1/2 x 2 - 1/3 x 2 + 1/15 x 2
=( 1/2 - 1/3 + 1/15 ) x 2
=7/30 x 2
=7/15
tìm X
3/2*X-3/2=1/2
8/13*X+5/13*X=1/10
2/15+7/15*X=1/15
hộ mik nha
a)\(2.x-\frac{3}{2}=\frac{1}{2}\)
\(2x=\frac{4}{2}\)
\(x=\frac{4}{2}:2\)
\(x=1\)
Vậy x=1
b)\(\frac{8}{13}.x+\frac{5}{13}.x=\frac{1}{10}\)
\(x.\left(\frac{8}{13}+\frac{5}{13}\right)=\frac{1}{10}\)\
\(x.1=\frac{1}{10}\)
\(x=\frac{1}{10}\)
Vậy x=\(\frac{1}{10}\)
c)\(\frac{2}{15}+\frac{7}{15}.x=\frac{1}{15}\)
\(\frac{7}{15}x=\frac{-1}{15}\)
x=\(\frac{-1}{7}\)
Vậy \(x=\frac{-1}{7}\)
\(\frac{3}{2}\cdot x-\frac{3}{2}=\frac{1}{2}\) \(\frac{8}{13}\cdot x+\frac{5}{13}\cdot x=\frac{1}{10}\)
\(\frac{3}{2}\cdot x=\frac{3}{2}+\frac{1}{2}=2\) \(\left[\frac{8}{13}+\frac{5}{13}\right]\cdot x=\frac{1}{10}\)
\(x=2:\frac{3}{2}\) \(1\cdot x=\frac{1}{10}\)
x=\(\frac{4}{3}\) \(x=\frac{1}{10}:1\)
Vậy x=\(\frac{4}{3}\) \(x=\frac{1}{10}\)
Vậy x=\(\frac{1}{10}\)
c,\(\frac{2}{5}+\frac{7}{15}\cdot x=\frac{1}{15}\)
\(\frac{7}{15}\cdot x=\frac{1}{15}-\frac{2}{5}=\frac{-1}{3}\)
\(x=\frac{-1}{3}:\frac{7}{15}\)
\(x=\frac{-5}{7}\)
Vậy x=\(\frac{-5}{7}\)
Cho P = 5/2 x 1 + 4/1 x 11 + 3/11x2 + 1/2 x 15 + 13/15 x 4 + 15/4 x 43 + 13/43 x 18
Tính nhanh :
3^8 x 5^8 - ( 15^4-1 ) x ( 15^4 + 1 )
( 2+ 1 ) x ( 2^2 + 1 ) x ( 2^4 + 1 ) x ... x ( 2^16 +1 ) +1
Thực hiện phép tính: a,(9/10 - 15/16) X (5/12 - 11/15 - 7/20) b,(-1)3 + (-2/3)2: 2 2/3 + 5/6 c,15 X (-1/5)2 + 1/5 - 2 X (-1/2)3 - 1/2 d,22 - (-5/7) + (1/3)4 X 36
a, (\(\dfrac{9}{10}\) - \(\dfrac{15}{16}\)) \(\times\) ( \(\dfrac{5}{12}\) - \(\dfrac{11}{15}\) - \(\dfrac{7}{20}\))
= (\(\dfrac{72}{80}\) - \(\dfrac{75}{80}\)) \(\times\) (\(\)\(\dfrac{25}{60}\) - \(\dfrac{44}{60}\) - \(\dfrac{21}{60}\))
= - \(\dfrac{3}{80}\) \(\times\) (- \(\dfrac{2}{3}\))
= \(\dfrac{1}{40}\)
b, (-1)3 + (- \(\dfrac{2}{3}\))2 : 2\(\dfrac{2}{3}\) + \(\dfrac{5}{6}\)
= -13 + \(\dfrac{4}{9}\) : \(\dfrac{8}{3}\) + \(\dfrac{5}{6}\)
= -1 + \(\dfrac{4}{9}\) \(\times\) \(\dfrac{3}{8}\) + \(\dfrac{5}{6}\)
= -1 + \(\dfrac{1}{6}\) + \(\dfrac{5}{6}\)
= -1 + 1
= 0
c, 15 \(\times\) (- \(\dfrac{1}{5}\))2 + \(\dfrac{1}{5}\) - 2 \(\times\) (- \(\dfrac{1}{2}\))3 - \(\dfrac{1}{2}\)
= 15 \(\times\) \(\dfrac{1}{25}\) + \(\dfrac{1}{5}\) - 2 \(\times\) (- \(\dfrac{1}{8}\)) - \(\dfrac{1}{2}\)
= \(\dfrac{3}{5}\) + \(\dfrac{1}{5}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{2}\)
= \(\dfrac{4}{5}\) - \(\dfrac{1}{4}\)
= \(\dfrac{11}{20}\)
tính nhanh
1. 2/3 + 4/9 + 1/5 + 2/15 +3/2 - 17/18
2. 13/28 x 5/12 - 5/28 x 1/12
3. 19/4 x 15/23 - 15/4 x 7/23 + 15/4 x 11/23
\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
bạn viết dấu gạch ngang của phân số như thế nào đấy nguyen thi hien
Cho x,y>0,x+y=1.CM:`A=(x+1/x)^2+(y+1/y)^2>=25/2`
`A=x^2+1/x^2+2+y^2+1/y^2+2`
`=x^2+y^2+1/x^2+1/y^2+4`
`=(x^2+1/(16x^2))+(y^2+1/(16y^2))+4+15/16(1/x^2+1/y^2)`
Áp dụng BĐt cosi và `1/a^2+1/b^2>=8/(a+b)^2`
`=>A>=1/2+1/2+4+15/16(8/(x+y)^2)`
`<=>A>=5+15/2=25/2`
Dấu "=" `<=>x=y=1/2`
Không làm theo cách sau:
Áp dụng BĐT phụ \(a^2+b^2\ge\dfrac{1}{2}\left(a+b\right)^2\Leftrightarrow\left(a-b\right)^2\ge0\)
\(A\ge\dfrac{1}{2}\left(x+y+\dfrac{1}{x}+\dfrac{1}{y}\right)^2\ge\dfrac{1}{2}\left(x+y+\dfrac{4}{x+y}\right)^2=\dfrac{1}{2}\left(1+\dfrac{4}{1}\right)^2=\dfrac{25}{2}\)
Dấu "=" \(x=y=\dfrac{1}{2}\)