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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