Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

I need help with q 6​

I Need Help With Q 6 class=

Sagot :

9514 1404 393

Answer:

  (A, B, C) = (-1, 2, 2)

Step-by-step explanation:

Simplify the right side and equate coefficients of the x-terms.

  x² -3 = A(x² +1) +(Bx +C)(x -1)

  x² -3 = Ax² +A +Bx² -Bx +Cx -C

  x² -3 = (A+B)x² +(C-B)x +(A-C) . . . . identify coefficients of each x-term

Matching coefficients on the left and right gives rise to three equations in the three unknowns:

  A +B = 1

  C -B = 0

  A -C = -3

Adding all three equations, we get ...

  (A +B) +(C -B) +(A -C) = (1) +(0) +(-3)

  2A = -2

  A = -1 . . . . . . divide by 2

  B = 1 -A = 2

  C = B = 2

The coefficients are ...

  (A, B, C) = (-1, 2, 2)

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.