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mathteacher1729 Group TitleBest ResponseYou've already chosen the best response.0
How far have you gotten before getting stuck?
 2 years ago

catsrule332 Group TitleBest ResponseYou've already chosen the best response.0
I started by multiplying both sides by the (√4x3) base. That's about it
 2 years ago

pfenn1 Group TitleBest ResponseYou've already chosen the best response.1
\[2\sqrt{x}(\sqrt{4x}3)=\frac{1}{\sqrt{4x}3}\]Note that\[\sqrt{4x}=2\sqrt{x}\]Therefore we can rewrite the equation\[\cancel{2\sqrt{x}}\cancel{2\sqrt{x}}+3=\frac{1}{2\sqrt{x}3}\]Multiply both sides by the denominator\[3(2\sqrt{x}3)=1\]\[6\sqrt{x}=10\]\[\sqrt{x}=\frac{10}{6}=\frac53\]\[x=\frac{5^2}{3^2}=\frac{25}{9}\]
 2 years ago
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