Question

X+10 /(X-2) (X+4) =A/X-2+B/X+4

Answer 1

\[\frac{x+10}{(x-2)(x+4)}=\frac{A}{x-2}+\frac{B}{x-4}\] is this what you want?

Answer 2

YEA LOL THANKS

Answer 3

oops that is backwards. sorry

Answer 4

let me do that again i had it backwards

Answer 5

THE 4 ARE + 4 NOT _

Answer 6

you need the method or just the answer?

Answer 7

ok let me try one more time

Answer 8

METHOD AND ANSWER PLZ

Answer 9

ok first the answer
\[A=2,B=1\]

Answer 10

now method. if you were going to add
\[\frac{A}{x-2}+\frac{B}{x+4}\] your numerator would be
\[A(x+4)+B(x-2)\] and you know your numerator is
\[x+10\] so set
\[(x+4)A+(x-2)B=x+10\]

Answer 11

this has to be an identity for all x so you get to pick any x to solve for A and B. put
\[x=2\] gete
\[(2+4)A+(2-2)B=2+10\]
\[6A=12\]
\[A=2\]

Answer 12

YOUR SMART THAMKS

Answer 13

now guess what you pick for x? pick
\[x=-4\] get
\[(-4+4)A+(-4-2)B=-4+10\]
\[-6B=6\]\[B=-1\]