Tìm x:
(x-7)4=(x-7)6
Giảinhanh nhé
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1.
=3/5x(3/7+4/7)+2/5x(13/9-4/9)
=3/5x1+2/5x1
=3/5+2/5
=1
2.Xx(3/4+4/5)=7/10
Xx31/20=7/10
X =7/10:31/20
X =14/31
\(\frac{3}{5}\cdot\frac{3}{7}+\frac{3}{5}\cdot\frac{4}{7}+\frac{2}{5}\cdot\frac{13}{9}-\frac{2}{5}\cdot\frac{4}{9}\)
\(=\frac{3}{5}\cdot\left(\frac{3}{7}+\frac{4}{7}\right)+\frac{2}{5}\cdot\left(\frac{13}{9}-\frac{4}{9}\right)\)
\(=\frac{3}{5}\cdot1+\frac{2}{5}\cdot1\)\(=\frac{3}{5}+\frac{2}{5}=1\)
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\(\frac{3}{4}\cdot x+\frac{4}{5}\cdot x=\frac{7}{10}\)
\(\left(\frac{3}{4}+\frac{4}{5}\right)\cdot x=\frac{7}{10}\)
\(\frac{31}{20}\cdot x=\frac{7}{10}\)
\(x=\frac{7}{10}:\frac{31}{20}\)
\(x=\frac{14}{31}\)
\(\left(x-7\right)\left(x-4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-4=0\\x-7=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=4\\x=7\end{cases}}}\)
A, X x 3/5 + X x 7/5 = 9/4 B, X - 4/7 = 1/5 : 7/2
<=> X x (3/5 + 7/5) = 9/4 <=> X - 4/7 = 2/35
<=> X x 2 = 9/4 <=> X = 2/35 + 4/7 <=> X = 22/35
<=> X= 9/4 : 2 <=> X = 9/8
#HT#
\(a,x.\frac{3}{5}+x.\frac{7}{5}=\frac{9}{4}\)
\(\Leftrightarrow x.\left(\frac{3}{5}+\frac{7}{5}\right)=\frac{9}{4}\)
\(\Leftrightarrow x.2=\frac{9}{4}\)
\(\Leftrightarrow x=\frac{9}{8}\)
\(b,x-\frac{4}{7}=\frac{1}{5}:\frac{7}{2}\)
\(\Leftrightarrow x-\frac{4}{7}=\frac{2}{35}\)
\(\Leftrightarrow x=\frac{22}{35}\)
\(x-\frac{3}{5}=\frac{4}{7}\) \(x+\frac{3}{5}=\frac{4}{3}\) \(-x-\frac{2}{7}=-\frac{8}{9}\)
\(x=\frac{4}{7}+\frac{3}{5}\) \(x=\frac{4}{3}-\frac{3}{5}\) \(-x=-\frac{8}{9}+\frac{2}{7}\)
\(x=\frac{41}{35}\) \(x=\frac{11}{15}\) \(-x=-\frac{38}{63}\)
\(x=\frac{38}{63}\)
\(\frac{7}{9}-x=\frac{1}{5}\)
\(x=\frac{7}{9}-\frac{1}{5}\)
\(x=\frac{26}{45}\)
\(a,\dfrac{3}{4}:\dfrac{6}{x}=\dfrac{5}{4}\\ \dfrac{6}{x}=\dfrac{3}{4}:\dfrac{5}{4}\\ \dfrac{6}{x}=\dfrac{3}{5}\\ x=6:\dfrac{3}{5}\\ x=10\\ b,\left(x+\dfrac{7}{4}\right)\times\dfrac{2}{3}=6\\ x+\dfrac{7}{4}=6:\dfrac{2}{3}\\x+\dfrac{7}{4}=9\\ x=9-\dfrac{7}{4}\\ x=\dfrac{29}{4}\)
\(x\times\frac{4}{7}+\frac{1}{3}\times x=\frac{2}{3}\)
\(x\times\left(\frac{4}{7}+\frac{1}{3}\right)=\frac{2}{3}\)
\(x\times\frac{19}{21}=\frac{2}{3}\)
\(x=\frac{2}{3}:\frac{19}{21}\)
\(x=\frac{2}{3}\times\frac{21}{19}=\frac{14}{19}\)
Bài làm
( x - 7 )4 = ( x - 7 )6
=> 1 = ( x - 7 )2
=> ( x - 7 )2 = 12
=> x - 7 = 1
=> x = 8
Vậy x = 8
# Học tốt #
\(\left(x-7\right)^6=\left(x-7\right)^4\Rightarrow\left(x-7\right)^6-\left(x-7\right)^4=0\)
\(\Rightarrow\left(x-7\right)^4\left[\left(x-7\right)^3-1\right]=0\)
\(\Rightarrow\left(x-7\right)\left[\left(x-7\right)^3-1^3\right]=0\)
\(\Rightarrow\left(x-7\right)\left[\left(x-7\right)-1\right]\left[\left(x-7\right)^2+\left(x-7\right).1+1^2\right]=0\)
\(\Rightarrow\left(x-7\right)\left(x-8\right)\left(x^2-14x+49+x-7+1\right)=0\)
\(\Rightarrow\left(x-7\right)\left(x-8\right)\left(x^2-13x+43\right)=0\)
\(\Rightarrow\hept{\begin{cases}x=7\\x=8\\x\in\varnothing\end{cases}\Rightarrow\hept{\begin{cases}x=7\\x=8\end{cases}}}\)