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Let a and b be the solutions to 5x^2 - 11x + 4 = 0 Find: 1/a^2 + 1/b^2.

 May 20, 2021
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1/a^2 + 1/b^2 = (a^2 + b^2)/(a^2b^2)

Using vietas, ab = 4/5, a + b = 11/5. 

Can you do it from here?

Remember, a^2 + b^2 = (a+b)^2 - 2ab

 

=^._.^=

 May 20, 2021

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