CPM Homework Help : PC Problem 6-100

We know that = x + B for some numbers A and B. Find A and B. Homework Help ✎

Step 1:

Multiply both sides by (x − 1).

x² − 3x + A = (x + B)(x − 1)

Step 2:

Multiply out on the right side.

x² − 3x + A = x² + Bx − x − B

Step 3:

Subtract x² from both sides.

−3x + A = Bx − x − B

Step 4:

Subtract x from both sides of the equation.

−2x + A = Bx − B

Step 5:

Set the x-terms = to each other.
Set the constant terms = to each other.

Answer:

∴ − 2 = B and A = − B
∴ A = 2

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Click the link at right for the full version of the eTool: PCT 6-100 HW eTool