SOLUTION: Write a complete solution to each problem.
29.) The sum of two numbers is 4, and their product is -32. Find the numbers.
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Question 162890This question is from textbook Elementary and Intermediate
: Write a complete solution to each problem.
29.) The sum of two numbers is 4, and their product is -32. Find the numbers.
This question is from textbook Elementary and Intermediate
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be x and y.
From the problem statement, you can write:
and
Rewrite the first equation as:
and substitute this into the second equation to get:
Simplify.
Rewrite as:
Solve this quadratic equation by factoring.
Apply the zero product rule.
or therefore...
or
To find x, substitute these values of y into:
and...
The two numbers are -4 and 8
Check:
Their sum is 4.
Their product is -32.
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