SOLUTION: For what value of 'A' will Avē-144=0 have one solution between 3 and 4 and the other solution is between -4 and -3?

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Question 1038807: For what value of 'A' will Avē-144=0 have one solution between 3 and 4 and the other solution is between -4 and -3?
Answer by ikleyn(52781) About Me  (Show Source):
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For what value of 'A' will Avē-144=0 have one solution between 3 and 4 and the other solution is between -4 and -3?
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Av%5E2-144 = 0 is equivalent to v%5E2 = 144%2FA.


Therefore, to satisfy your condition, A must satisfy an inequality 


3%5E2 <= 144%2FA <= 4%5E2,  or, which is the same, 


9 <= A <= 16.

Answer.  9 <= A <= 16.