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4-2 Solving Quadratic Equations by Graphing
Use the related graph of each equation to determine its solutions.
17. SOLUTION: The x-intercept of the graph is –2. Thus, the solution of the equation is –2.
Solve each equation. If exact roots cannot be found, state the consecutive integers between which the
roots are located.
27. SOLUTION: Graph the equation
.
The x-intercepts of the graph indicate that one solution is between 1 and 2, and the other solution is between –1 and
0.
2
53. CHALLENGE Find the value of a positive integer k such that f (x) = x – 2k x + 55 has roots at k + 3 and k – 3.
SOLUTION: eSolutions
- Powered
by Cognero
The Manual
product
of the coefficients
is 55.
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The x-intercepts of the graph indicate that one solution is between 1 and 2, and the other solution is between –1 and
0.
4-2 Solving
Quadratic Equations by Graphing
2
53. CHALLENGE Find the value of a positive integer k such that f (x) = x – 2k x + 55 has roots at k + 3 and k – 3.
SOLUTION: The product of the coefficients is 55.
Solve for k.
55. OPEN ENDED Write a quadratic function with a maximum at (3, 125) and roots at –2 and 8.
SOLUTION: 2
f(x) = –5x + 30x + 80
eSolutions Manual - Powered by Cognero
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