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Let the reciprocals of the roots of  be  and . Evaluate .

 Dec 27, 2020
 #1
avatar+114320 
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Nothing shows up.....!!!

 

 

cool cool cool

 Dec 27, 2020
 #2
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I mean to say this: Let the reciprocals of the roots of x^2 - 2x + 5 = 0 be a and b. Evaluate a + b.

Guest Dec 27, 2020
 #3
avatar+114320 
+1

x^2  - 2x  +  5    =   0

 

Let  the roots  be  m and  n

 

The sum of the roots =   2

So   m + n  = 2

 

And the product of the  roots  =  mn   =  5

 

Call the reciprocals of the roots    1/m  =  a  ,  1/n  =  b...  and their sum  = 1/m  + 1/n  = a + b  ...simplify  as

 

(m+ n)              2

______  =    _____   =   sum of  the reciprocals

   mn                5

 

 

cool cool cool

 Dec 27, 2020

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