+0  
 
-1
9
2
avatar+1030 

Let a and b be the solutions to 5x^2 - 11x + 4 = 4x^2 + 11x + 13. Find \frac{1}{a} + \frac{1}{b}.

 Jan 31, 2024
 #1
avatar+128393 
+1

1/a  +   1/b =    (a + b)   /  (ab)

 

x^2 - 22x  - 9  =   0 

 

Sum of roots  = a + b =  - (-22) / 1  = 22

 

Product of roots  = ab  =  -9/1 =  -9

 

So

 

(a + b) / (ab) =   22 /  -9

 

 

cool cool cool

 Jan 31, 2024
 #2
avatar+41 
0

What cphil said lol

 Feb 1, 2024

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