82 Problem Solving Using Polynomial Equations Section 4-8Problem Solving Using Polynomial Equations
83 Example 1A graphic artist is designing a poster that consists of a rectangular print with a uniform border. The print is to be twice as tall as it is wide, and the border is to be 3 in. wide. If the area of the poster is to be 680 in2, find the dimensions of the print.
84 Solution Draw a diagram Let w = width and 2w = height The dimensions are 6 in. greater than the print, so they are w + 6 and 2w + 6
85 Solution 4. The area is represented by (w + 6)(2w + 6) = 680 5. Solve the equation.
86 Example 2The sum of two numbers is 9. The sum of their squares is Find the numbers.
87 Solution Let x = one number Then 9 – x = the other number x2 + (9 – x)2 = 101