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Solve with steps: (9/25)x=(5/3)x^-2

 Sep 15, 2015
 #1
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Solve for x over the real numbers:
(9 x)/25 = 5/(3 x^2)
Rewrite the right hand side of the equation.
5/(3 x^2) = 5/(3 x^2):
(9 x)/25 = 5/(3 x^2)
Multiply both sides by a polynomial to clear fractions.
Cross multiply:
27 x^3 = 125
Divide both sides by a constant to simplify the equation.
Divide both sides by 27:
x^3 = 125/27
Elminate the power on the left hand side.
Take cube roots of both sides:
Answer: 
x = 5/3

 Sep 15, 2015
 #2
avatar+130516 
+5

(9/25)x=(5/3)x^-2  multiply both sides by x^2

 

(9/25) x^3 = (5/3)      multiply both sides by 25/9

 

x^3 = (5/3)(25/9)  

 

x^3 = 125/27    take the cube root of both sides

 

x = 5/3

 

 

 

cool cool cool

 Sep 15, 2015

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