Asked by Alexander
Directions: Decide whether the statements are true or false by using partial fraction decomposition. If the statement is false, show the correct way to decompose the partial fraction.
3/x^2+x-2=-1/x+2+1/x-1
3/x^2+x-2=-1/x+2+1/x-1
Answers
Answered by
bobpursley
Your non use of parenthesis makes this problem undecipherable.
Answered by
Alexander
Well the way the problem was on my paper, it doesn't have parenthesis so I wasn't sure if I should add them, sorry.
(3)/(x^2)+(x-2)=(-1)/(x+2)+(1)/(x-1)
(3)/(x^2)+(x-2)=(-1)/(x+2)+(1)/(x-1)
Answered by
bobpursley
You don't get it ...
I think you meant this:
3/(x^2+x-2)=-1/x+2+1/x-1
factor the left side:
3/((x+2)(x-1))=A/(x+2) + B/(x-1)
Now to solve A and B
3/((x+2)(x-1))=(A(x-1)+B(X+2))/((x+2)(x-1))
now comparing numerators,
3=Ax-A+Bx+2
and from that, Ax+Bx=0, or A=-B
and -A+2=3 or A=-1, so B=1
I think you meant this:
3/(x^2+x-2)=-1/x+2+1/x-1
factor the left side:
3/((x+2)(x-1))=A/(x+2) + B/(x-1)
Now to solve A and B
3/((x+2)(x-1))=(A(x-1)+B(X+2))/((x+2)(x-1))
now comparing numerators,
3=Ax-A+Bx+2
and from that, Ax+Bx=0, or A=-B
and -A+2=3 or A=-1, so B=1
Answered by
Eevee
Hi i was wondering since you guys are SUPAH GOOD could you help with this I have 2 questions
which measure correctly completes the statement.
1,127.5 milligrams = ? grams (1 point)
which measure correctly completes the statement
627.532 L= / ml
a sunflower was 1.8 meters high one week ago. in 7 days it grew 12 centimeters. find the current height of the sunflower.
if you know what this came frome please tell me how?? thank you so much don't ignore
lesson 13 geometry
which measure correctly completes the statement.
1,127.5 milligrams = ? grams (1 point)
which measure correctly completes the statement
627.532 L= / ml
a sunflower was 1.8 meters high one week ago. in 7 days it grew 12 centimeters. find the current height of the sunflower.
if you know what this came frome please tell me how?? thank you so much don't ignore
lesson 13 geometry
Answered by
GHANSHYAM YADAV
Partial fractions
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