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5 tháng 12 2021

Bài 1:

a) \(\dfrac{5x-6}{2x-1}=\dfrac{3x}{x-2}\)      (1)

ĐK:\(\left\{{}\begin{matrix}2x-1\ne0\\x-2\ne0\end{matrix}\right.\) ⇔\(\left\{{}\begin{matrix}x\ne\dfrac{1}{2}\\x\ne2\end{matrix}\right.\)

(1) ⇒\(\dfrac{\left(5x-6\right)\left(x-2\right)}{\left(2x-1\right)\left(x-2\right)}=\dfrac{3x\left(2x-1\right)}{\left(2x-1\right)\left(x-2\right)}\)

\(5x^2-10x-6x+12=6x^2-3x\)

\(5x^2-10x-6x+12-6x^2+3x=0\)

\(-x^2-13+12=0\)

\(\left[{}\begin{matrix}x=\dfrac{-13+\sqrt{217}}{2}\\x=\dfrac{-13-\sqrt{217}}{2}\end{matrix}\right.\left(TM\right)\)

KL:

 

5 tháng 12 2021

sorry! câu này mih làm sai mất rồibucminh

 

17 tháng 12 2021

Đoạn văn b ơi :33

16 tháng 12 2021

b d b b c a

16 tháng 12 2021

Question 1: B
Question 2: D
Question 3: B
Question 4: B
Question 5: C
Question 6: A

4 tháng 7 2023

\(10+2x=45\div4^5\)

\(10+2x=45\div1024\)

\(10+2x=\dfrac{45}{1024}\)

\(2x=\dfrac{45}{1024}-10\)

\(2x=-\dfrac{10195}{1024}\)

\(x=-\dfrac{10195}{1024}:2=-\dfrac{10195}{2048}\)

4 tháng 10 2021

\(a,=\left(-\dfrac{1}{3}\right)^3=-\dfrac{1}{27}\\ b,=\left(-2\right)^6=2^6=64\\ c,=5^6:5^2=5^4=625\)

4 tháng 10 2021

\(a,\left(-\dfrac{1}{3}\right)^2.\left(-\dfrac{1}{3}\right)=-\dfrac{1}{3}\)

\(b,\left(-2\right)^2.\left(-2\right)^4=\left(-2\right)^6\)

\(c,25^3:5^2=5^6:5^2=5^3\)

25 tháng 3 2022

(5/6+1/6)x4/5

= 1 x 4/5

=4/5

25 tháng 3 2022

\(\dfrac{4}{5}\) x ( \(\dfrac{5}{6}\) + \(\dfrac{1}{6}\))

\(\dfrac{4}{5}\) x  1

\(\dfrac{4}{5}\)

17 tháng 1 2023

\(a,\dfrac{-4}{5}+\dfrac{2}{7}-\dfrac{1}{5}-\dfrac{9}{7}=\left(\dfrac{-4}{5}-\dfrac{1}{5}\right)+\left(\dfrac{2}{7}-\dfrac{9}{7}\right)=-1+\left(-1\right)=-2\)

\(b,\dfrac{1}{12}-\left(\dfrac{1}{2}+\dfrac{7}{12}\right)=\dfrac{1}{12}-\left(\dfrac{6}{12}+\dfrac{7}{12}\right)=\dfrac{1}{12}-\dfrac{13}{12}=\dfrac{-12}{12}=-1\)

\(c,\dfrac{-12}{5}-\left(\dfrac{3}{5}-\dfrac{1}{8}\right)=\dfrac{-12}{5}-\left(\dfrac{24}{40}-\dfrac{5}{40}\right)=\dfrac{-12}{5}-\dfrac{19}{40}=\dfrac{-96}{40}-\dfrac{16}{40}=\dfrac{-100}{40}=\dfrac{-5}{2}\)

\(d,\dfrac{-5}{7}-\left(\dfrac{-7}{6}+\dfrac{2}{7}\right)+\dfrac{7}{-6}=\dfrac{-5}{7}+\dfrac{7}{6}-\dfrac{2}{7}+\dfrac{-7}{6}=\left(\dfrac{-5}{7}-\dfrac{2}{7}\right)+\left(\dfrac{7}{6}+\dfrac{-7}{6}\right)=-1\)

\(e,\dfrac{-6}{5}-\dfrac{2}{7}+\dfrac{1}{5}-\dfrac{5}{7}=\left(\dfrac{-6}{5}+\dfrac{1}{5}\right)+\left(\dfrac{-2}{7}-\dfrac{5}{7}\right)=-1+\left(-1\right)=-2\)

a: \(=\dfrac{3}{13}\left(\dfrac{6}{11}+\dfrac{9}{11}-\dfrac{4}{11}\right)+1+\dfrac{10}{13}=\dfrac{3}{13}+\dfrac{10}{13}+1=2\)

b: \(=4\left(2.86+3.14\right)-25\cdot6.01+9\cdot0.75\)

=4*6-25*6,01+9*0,75

=-119,5

c: \(=\dfrac{10}{11}+\dfrac{1}{11}-\dfrac{1}{8}+\dfrac{15}{4}=\dfrac{7}{8}+\dfrac{15}{4}=\dfrac{7+30}{8}=\dfrac{37}{8}\)

d: \(=\dfrac{-3}{31}-\dfrac{28}{31}-\dfrac{6}{17}-\dfrac{11}{17}+\dfrac{1}{25}-\dfrac{5}{25}=\dfrac{-4}{25}-2=-\dfrac{54}{25}\)