Algebra

posted by .

Is this right?


Decompose into partial fractions.

(2x^2-24x+35)/(x^2+2x-7)(x-2)=
(Ax+B)/(x^2+2x-7)+C/(x-2)

=Ax^2+Bx-2Ax-2B+Cx^2+2xC-7C
=(A+C)x^2+Bx+2(Ax+Cx-B)-7C
A+C=2
2Ax+Bx+2Cx=24
-2B-7C=35
A=2-C
B=(35-7C)/(-2)

  • Algebra -

    My answers are
    A=2-C
    B=(35-7C)/(-2)

  • Algebra -

    I agree to here:
    Ax^2+Bx-2Ax-2B+Cx^2+2xC-7C
    but then
    (A+C)x^2 + (B-2A+2C) x +(-2B-7C)
    so
    A+C=2 so C=(2-A)
    B-2A+2C=-24
    -2B-7C = 35
    solve for A and B using (2-A) for C
    B-2A+2(2-A) = -24
    2B+7(2-A) = -35

    B - 4 A = -28
    2B - 7A = -49

    2 B - 8 A = -56
    2 B - 7A = -49
    subtract
    -A = -7
    so
    A = 7
    then B = 4(7) - 28 = 0
    C = 2-A = -5
    7, 0 , -5 indeed work

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calc II

    Express the integrals as the sum of partial fractions and evaluate the integral: (integral of) (x^2)dx/(x-1)(x^2 +2x+1) My work: The above integral is equal to x^2dx/(x+1)^2 (A/x-1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2 A(x+1)^2 + B(x-1)(x+1) …
  2. calculus

    Quadratic function written in standard form where a, b, and c are constants such that a is not zero. f(x)= ax^2+bx+c Using calculus find the vertex of the parabola formed by this quadratic function. Determine under what conditions …
  3. calculus

    Decompose 58-x/x^2-6x-16 into partial fractions.
  4. Math- Partial Fractions

    Decompose the following into partial fractions after factoring the denominator as much as possible. Please show some work so I can understand how you did it. 1)x^2/((x-1)(x^2+5x+4)) 2)(3x^3-5x^2+12x+4)/(x^4-16) 3)1/(x^2 (x+1)^2 ) 4)(x+1)/((x^2+1) …
  5. Math

    For how many ordered triples of positive real numbers (a,b,c), do the equations ax^2+2bx+c, bx^2+2cx+a and cx^2+2ax+b each have 2 distinct real roots?
  6. Math

    For how many ordered triples of positive real numbers (a,b,c), do the equations ax^2+2bx+c, bx^2+2cx+a and cx^2+2ax+b each have 2 distinct real roots?
  7. Maths

    If the vertex of the parabola y=x^2-2ax+2a^2 is on the line y=24x+25 what is the value of a (positive number)
  8. Mathematical Economics and Linear Programming

    Using the quotient rule, find the derivation of the following function: a) (ax^2+b)/(cx+d) Here is my work but i need help because am lit bit confuse solution a) (ax^2+b)/(cx+d) df/dx = (2ax)(cx+d)-(ax^2+b) (c)/(cx+d)^2 df/dx = 2acx^2+2adx-acx^2+bc/(cx+d)^2 …
  9. math (factorising by grouping )

    a) 2ax-6bx+ay-3by b) 2ax-6bx-ay+3by c) a^2b+c^2b-c^2b-a^2b d) a^3+3a^2+2a+6 e) ax-2ay+2bx-4by
  10. math ( factorising by grouping)

    a) am-an-2bn+2bm b) 2ax-6bx+ay-3by c) 2ax-6bx-ay+3by d) a^2b+c^2b-c^2b-a^2b e) a^3+3a^2+2a+6 f) ax-2ay+2bx-4by

More Similar Questions