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

 Jan 16, 2021
 #1
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Largest: 13

Smallest: -1

13-(-1)=14

 Jan 16, 2021
 #2
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x2  -12x -15 <0    use quadratic formula to find the zeroes = 13.14    and -1.14

     so   13    and -1         13 - -1 = 14

 Jan 16, 2021

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