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Find the largest integer k such that the equation 5x^2 - kx + 8 - 2x^2 + 25 =0 has no real solutions

 Jun 22, 2024
 #1
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Simplify as

 

3x^2 -kx + 33  = 0

 

Will have no real solutions when

 

k^2 - 4*3*33 < 0

 

k^2  - 396 < 0

 

k^2 < 396

 

k < sqrt (396)

 

k = 19

 

cool cool cool

 Jun 22, 2024

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