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\(a,\dfrac{1}{2}-\dfrac{1}{3}-\left(-\dfrac{5}{4}\right)=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{5}{4}=\dfrac{1\times6-1\times4+5\times3}{12}=\dfrac{6-4+15}{12}=\dfrac{17}{12}\\ b,\dfrac{5}{4}-\dfrac{1}{2}-\dfrac{7}{8}=\dfrac{5\times2-1\times4-7}{8}=\dfrac{10-4-7}{8}=-\dfrac{1}{8}\\ c,\dfrac{1}{5}-\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1\times2-1\times5+9}{10}=\dfrac{2-5+9}{10}=\dfrac{6}{10}=\dfrac{3}{5}\\ d,\dfrac{5}{4}-\dfrac{1}{3}+\dfrac{7}{6}=\dfrac{5\times3-1\times4+7\times2}{12}=\dfrac{15-4+14}{12}=\dfrac{25}{12}\)
\(\sqrt{2x+5}\) xác định khi \(2x+5\ge0\Rightarrow2x\ge-5\Rightarrow x\ge-\dfrac{5}{2}\)
\(\sqrt{2x+5}\le0\Leftrightarrow2x+5\le0\Leftrightarrow2x\le-5\Leftrightarrow x\ge\dfrac{-5}{2}\)
\(\Rightarrow\) Đáp án: A
ĐKXĐ: \(2x-3\ge0\\ \Rightarrow2x\ge0+3\\ \Rightarrow2x\ge3\\ \Rightarrow x\ge\dfrac{3}{2}\left(A\right)\)
\(\sqrt{3-2x}\) xác định khi \(3-2x\ge0\Rightarrow2x\le3-0\Rightarrow2x\le3\Rightarrow x\le\dfrac{3}{2}\left(D\right)\)
`#lv`
`-2/5+(-7/10)-9/6`
`=-2/5-7/10-9/6`
`=-4/10-7/10-9/6`
`=-11/10-3/2`
`=-11/10-15/10`
`=-26/10`
`=-13/5`
__
`1/2+(-2/5)-(-2/3)`
`=1/2-2/5+2/3`
`=5/10-4/10+2/3`
`=1/10+2/3`
`=3/30+20/30`
`=23/30`
__
`5/3-3/4+7/6`
`=20/12-9/12+14/12`
`=11/12+14/12`
`=25/12`
__
`-1/5+5/3-3/2`
`=-3/15+25/15-3/2`
`=22/15-3/2`
`=44/30-45/30`
`=-1/30`
__
`1/4-7/8+(-9/10)`
`=2/8-7/8-9/10`
`=-5/8-9/10`
`=-25/40-36/40`
`=-61/40`
__
`5/4+1/2+(-7/12)`
`=15/12+6/12-7/12`
`=21/12-7/12`
`=14/12`
`=7/6`
__
`-5/8-1/3+(-7/6)`
`=-5/8-1/3-7/6`
`=-15/24-8/24-28/24`
`=-52/24`
`=-13/6`
__
`-3/4-7/10+(-5/6)`
`=-3/4-7/10-5/6`
`=-45/60-42/60-50/60`
`=-137/60`
Bài làm
a, (-2/5) + (-7/10) - 9/6 =(-12/30) + (-21/30) - 45/30=(-33/30) - 45/30 = (-78/30)
b,1/2 + (-2/5) - (-2/3) = 15/30 + (-12/30) - (-20/30) = 3/30 - (-20/30) = 23/30
c,5/3 - 3/4 + 7/6 = 40/24 - 18/24 + 28/24 = 22/24 + 28/24 = 50/24 = 25/12
d, (-1/5) + 5/3 - 3/2 = (-6/30) + 50/30 - 45/30 = 44/30 - 45/30 = (-1/30)
e, 1/4 - 7/8 + (-9/10) = 10/40 - 35/40 - 36/40 = (-25/40) - 36/40 = (-61/40)
f, 5/4 +1/2 + (-7/12) = 15/12 + 6/12 - 7/12 = 21/12 - 7/12 = 14/12 = 7/6
g,(-5/8) -1/3 + (-7/6) = (-15/24) - 8/24 - 28/24 = (-23/24) - 28/24 = (-51/24)
k,(-3/4) - 7/10 + (-5/6) = (-45/60) - 42/60 - 50/60 = (-87/60) - 50/60 = (-137/60)
chúc bn học tốt nha
sai thì mn góp ý giúp mk
Câu 15:
Ta có: \(\sqrt{32x}+\sqrt{50x}-2\sqrt{8x}+\sqrt{18x}\)
\(=4\sqrt{2x}+5\sqrt{2x}-4\sqrt{2x}+3\sqrt{2x}\)
\(=8\sqrt{2x}\)
Câu 14 : \(C=\left(\dfrac{\sqrt{x}}{\sqrt{x}-1}+\dfrac{2}{x-\sqrt{x}}\right):\dfrac{1}{\sqrt{x}-1}\) với x >0 ; x≠0
\(C=\left(\dfrac{\sqrt{x}}{\sqrt{x}-1}+\dfrac{2}{\sqrt{x}\left(\sqrt{x}-1\right)}\right):\dfrac{1}{\sqrt{x}-1}\)
\(C=\left(\dfrac{\sqrt{x}.\sqrt{x}}{\sqrt{x}\left(\sqrt{x}-1\right)}+\dfrac{2}{\sqrt{x}\left(\sqrt{x}-1\right)}\right):\dfrac{1}{\sqrt{x}-1}\)
\(C=\dfrac{x+2}{\sqrt{x}\left(\sqrt{x}-1\right)}.\dfrac{\sqrt{x}-1}{1}\)
\(C=\dfrac{x+2}{\sqrt{x}}\)
Chúc bạn học tốt
#\(N\)
`1, -3/7 +5/13 - 4/7 +-8/13 = (-3/7 + -4/7) + (5/13 --8/13) = -1+1=0`
`2, -5/14 - 2/14 + 1/8 + 1/8 = (-5/14 - 2/14) + (1/8 + 1/8) = -1/2 + 1/4 =-1/4`
`3, -5/22 -1 +3/2-6/22 = (-5/22 - 6/22) -1+3/2 = -1/2 - 1+3/2 = -3/2 + 3/2 = 0 `
`4, -1/2 + 1/4 + 2/8 -11/77 = -1/2+1/4 +1/4 -11/77 = -1/2 +(1/4+1/4)-1/7 =-1/2 + 1/2 - 1/7 =0-1/7 = -1/7`
`5, 2/5 + 5/4+(-2/5+5/4)-5/2 = 2/5+5/4+-2/5+5/4-5/2 = (2/5+-2/5)+(5/4+5/4)-5/2 = 0+5/2-5/2 = 5/2 - 5/2 = 0`
1: =-3/7-4/7+5/13+8/13
=-1+1=0
2: =-5/14-2/14+1/4
=-1/2+1/4
=-1/4
3: =-5/22-6/22+3/2-1
=-1/2-1+3/2
=0
4: =-4/8+2/8+2/8-1/7=-1/7
5: =2/5+5/4-2/5+5/4-5/2
=5/2-5/2
=0