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 For a real number x, find the minimum value of x^4 - 2x^2 + 3x^4 - 8x^2.

 Jun 19, 2024
 #1
avatar+1075 
+1

First, let's combine all like terms in the equation. We have

\(4x^{4}{-10x^{2}}\)

 

Factoring this equation, we get that

\(2x^{2}\left(2x^{2}-5\right)\)

 

Now, we can graph this. We have that

 

So the minimum value is -6.25. 

 

So our final answer is -6.25 

 

Thanks! :)

 Jun 19, 2024

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