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To obtain a
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Answer to Problem 35PPS
The two numbers are -3 and 4 .
Explanation of Solution
Given information :
The sum of the two numbers is 1 and their product is -12 .
Formula used :
Form a quadratic equation by substituting values of the addition and product of the two numbers. Then, solve the given equation to obtain the numbers.
Calculation :
Let the numbers be x and y .
Sum of the numbers.
Rearranging x and y. Let this be equation 1.
Product of the numbers. Let this be equation 2.
Substituting the value of x in equation 1 in equation 2.
This can be arranged as
This is the quadratic equation. Solve this to get the two numbers.
Breaking the middle term that when multiplied, provides that values of
Arranging the common elements.
These are the factors.
Hence the given numbers are -3 and 4 .
Chapter 9 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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