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Solve

 

25x^4 - 20x^2 + 3=0

 

The solution set is ___

yojaymarojas  May 14, 2017
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25x^4 - 20x^2 + 3 = 0        factor

 

(5x^2 - 3) (5x^2 - 1)   = 0

 

Set  each factor to 0  and solve

 

5x^2  - 3  =  0

add 3 to both sides

5x^2  = 3      divide both sides by 5

x^2  =  3/5    take both square roots

x  =  ± √(3/5)

 

Similarly.....setting the second factor to 0 and solving for x produces

x   =  ± √(1/5)

 

And those are the 4 solutions

 

 

cool cool cool

CPhill  May 14, 2017

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