1,25xX-1/4xX-3,5=\(1\dfrac{1}{2}\)
\(\text{( \dfrac{8}{7} − \dfrac{4 }{3})×1\dfrac{1}{3} − \dfrac{ 2}{7} ×(−3,5)^2}\)
1) (-6,5).5,7+5,7.(-3,5)
2) \(\left(1-\dfrac{2}{5}\right)^2\) + \(\dfrac{3}{5}\) + \(\dfrac{-7}{10}\)
chỗ \(\dfrac{3}{5}\) là \(\left|\dfrac{-3}{5}\right|\)
1: \(=5.7\left(-6.5-3.5\right)=-10\cdot5.7=-57\)
Bài 1.Tính hợp lí:
a) -15,5 . 20,8+3,5 . 9,2-15,5 . 9,2+3,5 . 20,8
b) \(1\dfrac{1}{20}:2,7+2,7:1,35+\left(0,4:2\dfrac{1}{2}\right).\left(4,2-1\dfrac{3}{10}\right)\)
a: \(=-15,5\left(20,8+9,2\right)+3,5\left(9,2+20,8\right)\)
\(=30\cdot\left(-12\right)=-360\)
b: \(=\dfrac{21}{20}:\dfrac{27}{10}+2+\left(\dfrac{2}{5}:\dfrac{5}{2}\right)\cdot\left(\dfrac{21}{5}-\dfrac{13}{10}\right)\)
\(=\dfrac{21}{10}\cdot\dfrac{10}{27}+2+\dfrac{4}{25}\cdot\dfrac{29}{10}\)
\(=\dfrac{7}{9}+2+\dfrac{58}{125}=\dfrac{3647}{1125}\)
Bài 2:Tìm x biết
A, -\(\dfrac{13}{20}\)+x=-\(\dfrac{11}{15}\) B,( x-3,5):3\(\dfrac{1}{2}\)-2,5=-1\(\dfrac{3}{4}\)
\(a,-\dfrac{13}{20}+x=\dfrac{-11}{15}\\ \Rightarrow x=\dfrac{-11}{15}+\dfrac{13}{20}\\ \Rightarrow x=-\dfrac{1}{12}\\ b,\left(x-3,5\right):3\dfrac{1}{2}-2,5=-1\dfrac{3}{4}\\ \Rightarrow\left(x-\dfrac{7}{2}\right):\dfrac{7}{2}-\dfrac{5}{2}=\dfrac{-7}{4}\\ \Rightarrow\left(x-\dfrac{7}{2}\right):\dfrac{7}{2}=\dfrac{3}{4}\\ \Rightarrow x-\dfrac{7}{2}=\dfrac{21}{8}\\ \Rightarrow x=\dfrac{49}{8}\)
tính nhanh: m= \(\dfrac{1}{3,5}\)+\(\dfrac{1}{5,7}\)+\(\dfrac{1}{7,9}\)+\(\dfrac{1}{9,11}\)+...+\(\dfrac{1}{97,99}\)
=1/2(2/3*5+2/5*7+...+2/97*99)
=1/2(1/3-1/5+1/5-1/7+...+1/97-1/99)
=1/2*32/99
=16/99
\(\left(\dfrac{7}{8}-\dfrac{3}{4}\right).\)\(\dfrac{1}{3}-\dfrac{2}{7}.\left(3,5\right)^2\)
\(\left(\dfrac{7}{8}-\dfrac{3}{4}\right)\cdot\dfrac{1}{3}-\dfrac{2}{7}\cdot\left(3,5\right)^2\)
\(=\left(\dfrac{7}{8}-\dfrac{6}{8}\right)\cdot\dfrac{1}{3}-\dfrac{2}{7}\cdot\dfrac{49}{4}\)
\(=\dfrac{1}{8}\cdot\dfrac{1}{3}-\dfrac{7}{2}\)
\(=\dfrac{1}{24}-\dfrac{7}{2}\)
\(=\dfrac{1}{24}-\dfrac{84}{24}\)
\(=-\dfrac{83}{24}\)
#データネ
`(7/8-3/4)xx1/3-2/7xx(3,5)^2`
`=(7/8-6/8)xx1/3-2/7xx12,25`
`=1/8xx1/3-2/7xx12,25`
`=1/24-7/2`
`=1/24-84/24`
`=-83/24`
( x - 3,5 )2 + ( y - \(\dfrac{1}{10}\))4 ≤ 0
( 5x + 1 )2 = \(\dfrac{36}{49}\)
Giải hộ mình với mọi người.
a)Ta có:
\(\left(x-3,5\right)^2+\left(y-\dfrac{1}{10}\right)^4\le0\)
\(\Rightarrow x-3,5=y-\dfrac{1}{10}=0\Leftrightarrow\left\{{}\begin{matrix}x=3,5\\y=\dfrac{1}{10}=0,1\end{matrix}\right.\)
b) Ta có:
\(\left(5x+1\right)^2=\dfrac{36}{49}\)
\(\Leftrightarrow\left[{}\begin{matrix}5x+1=\dfrac{6}{7}\\5x+1=\dfrac{-6}{7}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{35}\\x=\dfrac{-13}{35}\end{matrix}\right.\)
b: ta có: \(\left(5x+1\right)^2=\dfrac{36}{49}\)
\(\Leftrightarrow\left[{}\begin{matrix}5x+1=\dfrac{6}{7}\\5x+1=-\dfrac{6}{7}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}5x=\dfrac{-1}{7}\\5x=\dfrac{-13}{7}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{35}\\x=\dfrac{-13}{35}\end{matrix}\right.\)
\((\dfrac{-1}{4})^2-3,5+\sqrt{7}\)
\(=\dfrac{1}{16}-\dfrac{7}{2}+\sqrt{7}=\dfrac{-55}{16}+\sqrt{7}\)
\(\left(-\dfrac{1}{4}\right)^2-3,5+\sqrt{7}\\ =\dfrac{1}{16}-3,5+\sqrt{7}\\ =-\dfrac{55}{16}+\sqrt{7}\\ =\dfrac{-55+16\sqrt{7}}{16}\)
= \(\dfrac{1}{16}-3,5+\)√7
= \(\dfrac{-55+16\sqrt{7}}{16}\)