PRE CALC

please help me solve this partial-fraction decomposition!

12x-57/(x-3)(x-10)

  1. 👍 0
  2. 👎 0
  3. 👁 40
asked by esora
  1. let
    A/(x-3) + B(x-10) = (12x-57)/((x-3)(x-10))

    then
    A(x-10) + B(x-3)/((x-3)(x-10)) = (12x-57)/((x-3)(x-10) )

    or
    A(x-10) + B(x-3) = 12x - 57
    let x = 10
    B(7) = 63 ----> B = 9

    let x = 3
    A(-7) = -21 ----> A = 3

    so:
    (12x-57)/((x-10)(x-3)) = 3/(x-3) + 9/(x-10)

    1. 👍 0
    2. 👎 0
    posted by Reiny
  2. thank you! :)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Pre-Calc

    How do I solve this via partial fraction decomposition? (x^2+9)/(x^4-2x^2-8)

    asked by Micki on April 12, 2013
  2. partial fractions

    (7x^2-16)/(x^2-2x) solve by using partial fraction decomposition. i cant figure out how to do this because after i split up the bottom the A and B don't end up having an x^2 in order to equal the numerator of the original

    asked by gabs on July 20, 2011
  3. Calculus

    Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants: 4x + 1/(x + 6)(x - 5) I came up with A/x + 6 + B/x - 5

    asked by Kelly on November 28, 2007
  4. Math Help

    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

    asked by Alexander on March 19, 2015
  5. precalculus

    please check my answers 1.Use Gaussian elimination to write the system of equations given below in row-echelon form. 2x+4y+z=-4 2x-4y+6z=13 4x-2y+z=6 answer:2x+4y+z=-4 8y-5z=-17 z=1 2.Find the solution to the system of equations

    asked by Anonymous on November 30, 2016
  6. Math - Calc 2/Algebra

    I'm trying to find the partial fraction decomposition of: 10x^2+2x-2/x^2(x+1) I already found B=-2 and C=6 Plugging in the numbers, I get: 10x^2+2x-2=Ax(x+1)+(-2)(x+1)+(6)x^2 How do I solve this for A? Maybe this is just some

    asked by Anonymous on June 29, 2017
  7. Math grade 12

    write the partial fraction decomposition of the following rational expression ( hint: binomial expansion with Pascal triangle can be used to expand binomials. technology may be used to solve large systems using matrices or

    asked by Rass on January 1, 2012
  8. Math

    Partial Fraction Decomposition: 2x^2+x+8/ (x^2+4)^2

    asked by anonymous on December 18, 2015
  9. Pre-Calc

    How do I write the partial fraction decomposition of 7/(x^2+13x+40)?

    asked by Anonymous on March 6, 2016
  10. math

    how do you integrate 30x^2/((x-2)(x+3)(x-5)) using partial fraction decomposition

    asked by Lauren on February 15, 2009

More Similar Questions