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does       $${\frac{{\mathtt{7}}}{{{\mathtt{x}}}^{{\mathtt{3}}}}} = \left({\frac{{\mathtt{3}}}{{\mathtt{2}}}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{x}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{{\mathtt{x}}}^{{\mathtt{3}}}}}\right)$$

 May 15, 2014

Best Answer 

 #1
avatar+130511 
+5

Remember...an equation has to satisfy all values where it is defined...in this case where x > 0. So lets pick any positive number, say, 1, and see if it "works.'

7 /(1)^3 = (3/2 x √(1) + 2 / (1)^3)   ???

7/1 = (3/2 + 2)  ???

7 = 7/2   ???

Nope......doesn't look like it's true !!

(Actually.....your equation only works when x ≈ 1.41)

 May 15, 2014
 #1
avatar+130511 
+5
Best Answer

Remember...an equation has to satisfy all values where it is defined...in this case where x > 0. So lets pick any positive number, say, 1, and see if it "works.'

7 /(1)^3 = (3/2 x √(1) + 2 / (1)^3)   ???

7/1 = (3/2 + 2)  ???

7 = 7/2   ???

Nope......doesn't look like it's true !!

(Actually.....your equation only works when x ≈ 1.41)

CPhill May 15, 2014

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