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What is the value of b if -x^2 + bx - 5 < 0 only when x is between (-infinity, 1) U (5, infinity)?

 Mar 7, 2018
 #1
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At the points where the curve crosses the x axis we have:

 

(x-1)(x-5)=0

x2-6x+5=0

multiply by -1

-x2+6x-5=0

 

So b = 6

 

.

 Mar 7, 2018

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