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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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Chapter
Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

For Problems 105 –114, set up an equation and solve each problem.

Find two integers whose sum is 2 and whose product is −48.

To determine

To find:

Two integers whose sum is 2 and whose product is −48.

Explanation

Approach:

1) Like terms are terms that contain exactly the same variables raised to exactly the same powers.

2) Two like terms can be added or subtracted in any polynomial.

3) Factorize the polynomial using middle term splitting or algebraic formula.

4) If ab = 0, then a = 0 or b = 0

Calculation:

Let the two integers be x and x − 2.

According to the problem, x(x2)=48

x22x=48x22x+48=0x2+8x6x+48

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