Question

Solving Rational Equations; Solve and show work for #19 &
A Medal will be rewarded! :D
Here's the link: http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Solving%20Rational%20Equations.pdf

Answer 1

multiply each term in the equation by p^2 + p, simplify and solve

Answer 2

I did that, but I don't know what it looks like after I multiply. @Harkirat

Answer 3

ok wait..

Answer 4

you should get\[p+5=1-p ^{2}+6p\]

Answer 5

now you can shift terms to get a quadratic equation and solve it.

Answer 6

How did you get p^2 + 6p

Answer 7

what about the denominator p + 1

Answer 8

\[\frac{ p+5 }{p ^{2}+p }*{p ^{2}+p }=\frac{ 1 } {p ^{2}+p } *{p ^{2}+p }-\frac{ p-6 }{ p+1}*{p ^{2}+p }\]

Answer 9

\[p+5 =1-\frac{ p-6 }{ p+1}*p(p+1)\]

Now you can cancel out p+1 from numerator and denominator

Answer 10

What would you do then?

Answer 11

This will give you\[p+5=1-(p-6)(p)\]
which will lead to
\[p+5=1-p ^{2}+6p\]

Answer 12

now you can shift all terms to left hand side and get a quadratic equation

Answer 13

0 = -4 - p^2 + 5p

Answer 14

better make it

p^2-5p+4=0 ....positives are easier to handle

Answer 15

Can you take it from here????

Answer 16

I think so

Answer 17

Good.....