What are the range of values of k for the equation (k+1)x^2+4kx+9=0?

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The discussion focuses on determining the range of values for k in the quadratic equation (k+1)x^2 + 4kx + 9 = 0 that results in no real roots. Participants emphasize the importance of the discriminant being negative, leading to the inequality 16k^2 - 36k - 36 < 0. The roots of the corresponding equation are found to be k = 3 and k = -3/4, establishing the interval -3/4 < k < 3 for which the discriminant is negative. The conversation also touches on the need to ensure the equation remains quadratic by restricting k. Overall, the final consensus is that the valid range of k values is between -3/4 and 3.
  • #31
In addition, it should be
(4k+3)(k-3)<0
Drown in shame..:wink:
 
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  • #32
*drowns himself in a bowl of red wine*

-- AI
 
  • #33
TENALIRAMAN!
Are you still with us??
Get out of that bowl at once, I'm sorry I led you on to that! :cry:
 
  • #34
ssh arildno,
i am waiting for some baywatch girl to give me CPR

-- AI
 
  • #35
lol, it was all setup
 

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