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Find the largest integer $k$ such that the equation
5x^2 - kx + 8 - 12x^2 + 87 = 0
has no real solutions.

 Jan 8, 2024
 #1
avatar+128732 
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Simplify  as

 

-7x^2 - kx + 95   =  0

 

If this  has no real  solutions,  the discriminant  <  0

 

k^2 - 4(-7) (95)  <  0

 

k^2  + 2660 <  0

 

No integer  k  makes this  true

 

 

cool cool cool

 Jan 9, 2024

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