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a, 15 + 3x = 3
3x = 3 - 15
3x = -12
x = -4
b, 1\(\frac{3}{2}\)x - \(\frac{6}{7}\) = \(\frac{1}{8}\)
\(1\frac{3}{2}\)x = \(\frac{1}{8}+\frac{6}{7}\)
\(1\frac{3}{2}\)x = \(\frac{55}{56}\)
x = \(\frac{55}{56}:1\frac{3}{2}\)
x = \(\frac{11}{28}\)
c, Ta có: \(\frac{-36}{48}=\frac{-3}{4}\); \(\frac{-25}{35}=\frac{-5}{7}\)
Quy đồng mẫu số 2 phân số ta được:
\(\frac{-21}{28}\) và \(\frac{-20}{28}\)
Vì -21 < -20 \(\Rightarrow\) \(\frac{-21}{28}< \frac{-20}{28}\) hay \(\frac{-36}{48}< \frac{-25}{35}\)
Chúc bn học tốt
a)\(\left(x+\frac{1}{5}\right)^2+\frac{17}{25}=\frac{26}{25}\)
=\(\left(x+\frac{1}{5}\right)^2=\frac{9}{25}=\frac{3^2}{5^2}\)
=\(x+\frac{1}{5}=\frac{3}{5}\)
\(x=\frac{2}{5}\)
b)\(-1\frac{5}{27}-\left(3x-\frac{7}{9}\right)^3=\frac{24}{27}\)
=\(x=-\frac{35}{27}\)
a) \(\frac{5.\left(3x-8\right)}{7.5}=\frac{15x-40}{35}=\frac{35}{9}\)
=> (15x - 40) . 9 = 352
=> 135x - 360 = 1225
=> 135x = 1585
=> x = \(\frac{317}{27}\)
\(b,\frac{-7}{25}.\frac{11}{13}+\frac{-7}{25}.\frac{2}{13}-\frac{18}{25}\)
\(=\frac{-7}{25}.\left(\frac{11}{13}+\frac{2}{13}\right)-\frac{18}{25}\)
\(=\frac{-7}{25}.1-\frac{18}{25}\)
\(=\frac{-7}{25}-\frac{18}{25}\)
\(=-1\)
a) \(\frac{-1}{4}+\frac{3}{7}+\frac{5}{4}+\frac{-10}{7}\)
\(=\left(\frac{-1}{4}+\frac{5}{4}\right)+\left(\frac{3}{7}+\frac{-10}{7}\right)\)
\(=\frac{4}{4}+\frac{-7}{7}\)
\(=1+-1\)
\(=0\)
\(\boxed{\star19/08/2004}\)
\(\left(-\dfrac65\right)^{3x-1}=\left(\dfrac{36}{25}\right)^7\)
\(\Rightarrow\left(-\dfrac65\right)^{3x-1}=\left\lbrack\left(-\dfrac65\right)^2\right\rbrack^7\)
\(\Rightarrow\left(-\dfrac65\right)^{3x-1}=\left(-\dfrac65\right)^{2\cdot7}\)
\(\Rightarrow\left(-\dfrac65\right)^{3x-1}=\left(-\dfrac65\right)^{14}\)
\(\Rightarrow3x-1=14\)
\(\Rightarrow3x=15\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
(-6/5) ^ 3x-1 = (36/25)^7
(-6/5) ^ 3x-1=[(-6/5)^2]^7
(-6/5) ^ 3x-1= (-6/5)^14
⇒3x-1=14
3x=14+1
3x=15
x=15:3
x=5
Vậy x=5
\(\left(\frac{-6}{5}\right)^{3x-1}=\frac{36}{25}^7\)
`=>`\(\left(-\frac65\right)^{3x-1}=\left(\frac65\right)^{2\cdot7}\)
`=>`\(\left(-\frac65\right)^{3x-1}=\left(-\frac65\right)^{14}\)
`=> 3x-1 = 14`
`=> 3x = 15`
`=> x = 5`
Vậy `x = 5`