Ai giúp mik với ạ
9^x : 3^x = 3
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\(\left(x+\dfrac{1}{3}\right)\times\dfrac{9}{14}\times\dfrac{7}{3}-\dfrac{1}{3}=1:\dfrac{9}{5}\\ \Rightarrow\left(x+\dfrac{1}{3}\right)\times\dfrac{3}{2}-\dfrac{1}{3}=\dfrac{5}{9}\\ \Rightarrow\left(x+\dfrac{1}{3}\right)\times\dfrac{3}{2}=\dfrac{5}{9}+\dfrac{1}{3}\\ \Rightarrow\left(x+\dfrac{1}{3}\right)\times\dfrac{3}{2}=\dfrac{8}{9}\\ \Rightarrow x+\dfrac{1}{3}=\dfrac{8}{9}:\dfrac{3}{2}\\ \Rightarrow x+\dfrac{1}{3}=\dfrac{16}{27}\\ \Rightarrow x=\dfrac{16}{27}-\dfrac{1}{3}\\ \Rightarrow x=\dfrac{7}{27}\)
\(P=\dfrac{x+\sqrt{x}}{3\sqrt{x}-1}=\dfrac{7-4\sqrt{3}+\sqrt{7-4\sqrt{3}}}{3\sqrt{7-4\sqrt{3}}-1}=\dfrac{7-4\sqrt{3}+\sqrt{\left(2-\sqrt{3}\right)^2}}{3\sqrt{\left(2-\sqrt{3}\right)^2}-1}=\dfrac{7-4\sqrt{3}+\left|2-\sqrt{3}\right|}{3\left|2-\sqrt{3}\right|-1}=\dfrac{7-4\sqrt{3}+2-\sqrt{3}}{3\left(2-\sqrt{3}\right)-1}=\dfrac{9-5\sqrt{3}}{5-3\sqrt{3}}=\dfrac{\left(9-5\sqrt{3}\right)\left(5+3\sqrt{3}\right)}{\left(5-3\sqrt{3}\right)\left(5+3\sqrt{3}\right)}=\dfrac{45+2\sqrt{3}-45}{-2}=-\sqrt{3}\)
Thay \(x=7-4\sqrt{3}\) vào P, ta được:
\(P=\dfrac{7-4\sqrt{3}+2-\sqrt{3}}{6-3\sqrt{3}-1}\)
\(=\dfrac{9-5\sqrt{3}}{5-3\sqrt{3}}=-\sqrt{3}\)
a: \(-\dfrac{2}{5}+\dfrac{4}{5}x=\dfrac{3}{5}\)
=>\(\dfrac{4}{5}x=\dfrac{3}{5}+\dfrac{2}{5}=1\)
=>\(x=1:\dfrac{4}{5}=\dfrac{5}{4}\)
b; \(-\dfrac{3}{7}-\dfrac{4}{7}:x=-2\)
=>\(\dfrac{4}{7}:x+\dfrac{3}{7}=2\)
=>\(\dfrac{4}{7}:x=2-\dfrac{3}{7}=\dfrac{11}{7}\)
=>\(x=\dfrac{4}{7}:\dfrac{11}{7}=\dfrac{4}{11}\)
\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+222\right)=27195\)
\(\Leftrightarrow\left(x+x+x+...+x\right)+\left(1+2+3+...+222\right)=27195\)
\(\Leftrightarrow\left(x+x+x+...+x\right)+\frac{\left(222+1\right)\left[\left(222-1\right):1+1\right]}{2}=27195\)
\(\Leftrightarrow222x+24753=27195\)
\(\Leftrightarrow222x=2442\Leftrightarrow x=11\)
\(222x+\left(1+2+3+4+...+222\right)=27195\)
1 + 2 + 3 + 4 + ... + 222
Số số hạng : ( 222 - 1 ) : 1 + 1 = 222
Tổng : ( 222 + 1 ) x 222 : 2 = 24753
\(222x+24753=27195\)
\(222x=27195-24753\)
\(222x=2442\)
\(x=11\)
a: =>4/3x=7/9-4/9=1/3
=>x=1/4
b: =>5/2-x=9/14:(-4/7)=-9/8
=>x=5/2+9/8=29/8
c: =>3x+3/4=8/3
=>3x=23/12
hay x=23/36
d: =>-5/6-x=7/12-4/12=3/12=1/4
=>x=-5/6-1/4=-10/12-3/12=-13/12
9^x : 3^x = 3
= 9 : 3 = 3
=> x = 1
9^x : 3^x = 3
x=3:(9:3)^x
x=1
vậy x = 1