Chapter 9 Algebra Worksheet With Answers - Montville Township Public Schools Page 19

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Study Guide and Review - Chapter 9
The solutions are approximately 1.2 and –1.2.
37.  NUMBER THEORY  Find two numbers that have a sum of −2 and a product of −48.
SOLUTION:  
From the given information, write two equations. Let x and y represent the numbers.
 
x + y = –2
x • y = –48
 
Solve the first equation for y.
 
 
Substitute this value for y into the second equation.
 
 
Now solve by completing the square.
 
 
The solutions are 6 and –8.
Solve each equation by using the Quadratic Formula. Round to the nearest tenth if necessary.
2
38. x
− 8x = 20
SOLUTION:  
Rewrite the equation in standard form.
 
 
For this equation, a = 1, b = –8, and c = –20.
 
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