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a, \(\left(x-\frac{2}{3}\right)^2=\frac{5}{6}\Leftrightarrow\orbr{\begin{cases}x-\frac{2}{3}=\sqrt{\frac{5}{6}}\\x-\frac{2}{3}=-\sqrt{\frac{5}{6}}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{4+\sqrt{30}}{6}\\x=\frac{4-\sqrt{30}}{6}\end{cases}}}\)nghiệm xấu thế ?
b, \(\left(\frac{3}{4}-x\right)^3=\left(-8\right)\Leftrightarrow\frac{3}{4}-x=-2\Leftrightarrow x=\frac{11}{4}\)
\(...=\dfrac{152}{10}-\dfrac{15}{9}+\dfrac{48}{10}-\dfrac{4}{19}=\dfrac{76}{5}-\dfrac{5}{3}+\dfrac{24}{5}-\dfrac{4}{19}\)
\(=\dfrac{76}{5}-\dfrac{5}{3}+\dfrac{24}{5}-\dfrac{4}{19}=\dfrac{76}{5}+\dfrac{24}{5}-\dfrac{5}{3}-\dfrac{4}{19}\)
\(=\dfrac{100}{5}-\dfrac{5}{3}-\dfrac{4}{19}=20-\dfrac{5}{3}-\dfrac{4}{19}=\dfrac{20.57-5.19-4.3}{57}=\dfrac{1033}{57}\)
`1a)-17/30-11/(-15)+(-14)/24`
`=-17/30+22/30+(-7)/12`
`=5/30+(-7)/12`
`=1/6-7/12=2/12-7/12=-5/12`
`1b)(-10)/11*4/7+(-10)/11*3/7+1 10/11`
`=(-10)/11*(4/7+3/7)+1+10/11`
`=-10/11+10/11+1=1`
`1c)(5/7*0,6-5:3 1/2).(40%-1,4).(-2)^3`
`=(5/7*3/5-5:7/2).(0,4-1,4).(-8)`
`=(3/7-10/7).(-1).(-8)`
`=8.(-1)=-8`
1:
Chiều rộng là 1,6*3/4=1,2m
Chiều dài là 1,2*1,5=1,8m
V=1,2*1,8*1,6=3,456m3
\(a,\dfrac{-3}{7}-x=\dfrac{8}{9}\\ =>x=-\dfrac{3}{7}-\dfrac{8}{9}\\ =>x=-\dfrac{83}{63}\)
\(b,\left(\dfrac{3}{10}-x\right):\dfrac{2}{5}=\dfrac{3}{5}\\ =>\dfrac{3}{10}-x=\dfrac{3}{5}\text{×}\dfrac{2}{5}=\dfrac{6}{25}\\ =>x=\dfrac{3}{10}-\dfrac{6}{25}=\dfrac{3}{50}\)
a: =>x=-3/7-8/9=-83/63
b: \(\Leftrightarrow\left(\dfrac{3}{10}-x\right)=\dfrac{3}{5}:\dfrac{2}{5}=\dfrac{3}{2}\)
=>x=3/10-3/2=-6/5
c: \(\Leftrightarrow\left(x-\dfrac{1}{2}\right)^2=4\)
=>x-1/2=2 hoặc x-1/2=-2
=>x=5/2 hoặc x=-3/2
d: =>1/8x+1/2=5/2-3/4=10/4-3/4=7/4
=>1/8x=7/4-1/2=5/4
=>x=10