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Back to 11.5 Solve Systems of Nonlinear Equations

11.5 Exercise 79

Avg difficulty 2.5

Solve the problem using a system of equations.

Donnette found a widescreen TV at a garage sale, but isn’t sure if it will fit her entertainment center. The TV is 50”. The size of a TV is measured on the diagonal of the screen and a widescreen has a length that is larger than the width. The screen also has an area of 1200 square inches. Her entertainment center has an insert for the TV with a length of 38 inches and width of 27 inches. What are the length and width of the TV screen and will it fit Donnette’s entertainment center?

OpenStax Intermediate Algebra 2e, 11.5 Solve Systems of Nonlinear Equations, exercise 79

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Adapted from Intermediate Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Intermediate Algebra 2e. Imported at revision 77a933c.