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Let the reciprocals of the roots of $5x^2 + 3x + 4$ be $\alpha$ and $\beta$. Evaluate $\alpha + \beta$ .

 Dec 16, 2020
 #1
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It will be   - b/c   = - 3/4

 Dec 16, 2020
 #2
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Let  the roots  be  m  and  n

 

By Vieta

 

m + n  =  -3/5

mn = 4/5

 

So

a + b  =   1/m   +  1 /n  =        ( m + n)  / (mn)    =    (-3/5) / ( 4/5)   =   -3/4 

 

 

cool cool cool

 Dec 16, 2020

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