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3x + x√3 = 3 + 3√3

Solve for X please

 May 5, 2014

Best Answer 

 #3
avatar+118724 
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3x + x√3 = 3 + 3√3

$$x(3+\sqrt3)=3(1+\sqrt3)\\\\
x=\frac{3(1+\sqrt3)}{(3+\sqrt3)}\\\\
x=\frac{3(1+\sqrt3)}{(3+\sqrt3)}\times \frac{(3-\sqrt3)}{(3-\sqrt3)}\\\\
x=\frac{3(3+2\sqrt3-3)}{(9-3)}\\\\
x=\frac{3(2\sqrt3)}{6}\\\\
x=\sqrt3\\\\$$

How about that!

 May 6, 2014
 #1
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let guess homework

 May 5, 2014
 #3
avatar+118724 
+5
Best Answer

3x + x√3 = 3 + 3√3

$$x(3+\sqrt3)=3(1+\sqrt3)\\\\
x=\frac{3(1+\sqrt3)}{(3+\sqrt3)}\\\\
x=\frac{3(1+\sqrt3)}{(3+\sqrt3)}\times \frac{(3-\sqrt3)}{(3-\sqrt3)}\\\\
x=\frac{3(3+2\sqrt3-3)}{(9-3)}\\\\
x=\frac{3(2\sqrt3)}{6}\\\\
x=\sqrt3\\\\$$

How about that!

Melody May 6, 2014

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