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Let a and b be the solutions to 5x^2 - 11x + 4 = 2x^2 - 7x + 9 + 7x^2 - 14x - 11. Find 1/a + 1/b.

 Mar 16, 2024
 #1
avatar+128794 
+1

Simplify as

4x^2 -10x -6  =  0 

2x^2 - 5x - 3  = 0

 

Product of roots =  -3/2  =  ab

Sum of roots  = 5/2  = a + b

 

1 / a  + 1 / b   =    (a + b)  / (ab)   = ( 5/2)  /(-3/2) =  - 5 / 3 

 

 

cool cool cool

 Mar 16, 2024

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