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What is the positive difference of the solutions of \(\dfrac{r^2-3r-17}{r+4}=2r+7\) ?

Help, I'm stuck on this problem.

Thanks!

 Jun 12, 2021
 #1
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Multiply both sides of the equation by r+4  to get

 

r^2 -3r-17 = 2r^2 +15r + 28      simplify

 

r^2 +18r + 45 = 0     

(r+15)(r+3) = 0         You should be able to finish......   cheeky

 Jun 12, 2021
 #2
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Correct, tysm!

Guest Jun 12, 2021

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