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Let a be the smallest integer satisfying the inequality x^2 - 15 < 12x + 7x - 3, and let b be the largest integer satisfying the same inequality. What is b-a?

 Mar 29, 2022
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x^2 - 15 < 12x + 7x - 3

x^2 - 19x -12 < 0             Use quadratic formula    x = 19/2 +- sqrt(409)/2

 

                                             or  b =19    a = 0  (as largest and smallest integers)     b-a then becomes 19

 Mar 29, 2022

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