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(5a)2x 21a=4200

 Mar 10, 2015

Best Answer 

 #2
avatar+26400 
+5

(5a)2x 21a=4200

$$\begin{array}{rcl}
(5a)^2\cdot 21\cdot a &=& 4200 \\
(5a)^2\cdot 21\cdot a &=& 2\cdot 21 \cdot 100\\
(5a)^2 \cdot a &=& 2 \cdot 100 \quad | \quad \sqrt{}\\\\
5a \cdot a^{\frac{1}{2}} &=& 2^{\frac{1}{2} }*10 \quad | \quad :5 \\
a^1 \cdot a^{\frac{1}{2}} &=& 2^{\frac{1}{2} }*2^1 \\
a^{\frac{3}{2}} &=& 2^{\frac{3}{2} } \quad | \quad ()^{\frac{2}{3}}\\
a &=& 2
\end{array}$$

 Mar 10, 2015
 #1
avatar+130516 
+5

(5a)^2 * 21a  = 4200

25a^2 * 21a  = 4200

525 a^3  = 4200   divide by 525 on both sides

a^3  = 4200/ 525 = 8     take the cube root of both sides

a = 2

 

  

 Mar 10, 2015
 #2
avatar+26400 
+5
Best Answer

(5a)2x 21a=4200

$$\begin{array}{rcl}
(5a)^2\cdot 21\cdot a &=& 4200 \\
(5a)^2\cdot 21\cdot a &=& 2\cdot 21 \cdot 100\\
(5a)^2 \cdot a &=& 2 \cdot 100 \quad | \quad \sqrt{}\\\\
5a \cdot a^{\frac{1}{2}} &=& 2^{\frac{1}{2} }*10 \quad | \quad :5 \\
a^1 \cdot a^{\frac{1}{2}} &=& 2^{\frac{1}{2} }*2^1 \\
a^{\frac{3}{2}} &=& 2^{\frac{3}{2} } \quad | \quad ()^{\frac{2}{3}}\\
a &=& 2
\end{array}$$

heureka Mar 10, 2015

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