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Let  and  be the solutions to
\(5x^2 - 11x + 4 = 0. \) Find\(\frac{1}{a}+\frac{1}{b}\)

 Apr 24, 2022
 #1
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5x^2   -11x   +  4  = 0

 

Note that      1/a + 1/b =     (a + b)  / (ab)

 

The sum of the roots  =  11/5  = a + b     

 

The product of the rooots = ab =  4/5  

 

So

 

1/a + 1/b =  11/5  / 4/5   =  11  / 4

 

cool cool cool

 Apr 24, 2022

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