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TlJesusFreak37
Group Title
I need to simplify the ratio: x^2x20 / x^2+8x+16.
I know that the denominator is simplified into (x+4)(x+4), But I'm unsure as to how to work the numerator. Help?
 one year ago
 one year ago
TlJesusFreak37 Group Title
I need to simplify the ratio: x^2x20 / x^2+8x+16. I know that the denominator is simplified into (x+4)(x+4), But I'm unsure as to how to work the numerator. Help?
 one year ago
 one year ago

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gezimbasha Group TitleBest ResponseYou've already chosen the best response.0
Solve for the roots of the first equation, by using the quadratic formula\[x=\frac{b \pm \sqrt{b^24ac}}{2a}=\frac{1 \pm \sqrt{14*1*(20)}}{2}=\frac{1 \pm \sqrt{1+80}}{2}\]You then get,\[x=\frac{1 \pm \sqrt{81}}{2}=\frac{1 \pm 9}{2}\]From there you have two solutions x1=4, and x2=5. Now the equation\[x^2x20 = (xx1)(xx2)\]So just replace the x1 and x2.\[(x5)(x+4)\]
 one year ago

TlJesusFreak37 Group TitleBest ResponseYou've already chosen the best response.0
Alright, but isn't that solving the equation? I just need to simplify. I'm thinking I can write it out into x+x+x+4*5, and then use the x+4 in the numerator to cancel out one from the denominator, which would leave us with 5x^2 / x+4, but I'm not sure if that's correct.
 one year ago

gezimbasha Group TitleBest ResponseYou've already chosen the best response.0
No no, you get this\[\frac{(x5)(x+4)}{(x+4)(x+4)}=\frac{x5}{x+4}\]
 one year ago

TlJesusFreak37 Group TitleBest ResponseYou've already chosen the best response.0
How? The middle term on the top doesn't have a coefficient. If it did, then that's what you would do since you would be finding the product of the last term that also made a sum equal to the middle term. There is no middle term though, it's just x.
 one year ago

gezimbasha Group TitleBest ResponseYou've already chosen the best response.0
Yes, the middle term has a coefficient. It is 1. Because 1*x=x. That is why I replaced 1 in the quadratic formula.
 one year ago

TlJesusFreak37 Group TitleBest ResponseYou've already chosen the best response.0
Alright, I understand now. Thank you. (:
 one year ago

gezimbasha Group TitleBest ResponseYou've already chosen the best response.0
Are you sure? I can provide more explanation if you need? Don't hesitate please!
 one year ago
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