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Use the method shown above to solve the system of equations. x+y = 8 xy = 52

Use the method shown above to solve the system of equations. x+y = 8 xy = 52

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Read the method of solving the system of equations. x+y = 10 xy = 40 Solving the first equation for y, we have y = 10 - x. Substituting this value of y into the second equation, we have x(10 - x) = 40 The equation is quadratic. We write it in standard form and apply the quadratic formula. 0 = x2 - 10x + 40 10 + /100 – 4(1)(40) 2 10 + /100 - 160 2 10 + - 60 2 10 + 2-15 2 = 5+ /-15 = 5+i/15 y= 5=i/15 Use the method shown above to solve the system of equations. x+y = 8 xy = 52
Transcribed Image Text:Read the method of solving the system of equations. x+y = 10 xy = 40 Solving the first equation for y, we have y = 10 - x. Substituting this value of y into the second equation, we have x(10 - x) = 40 The equation is quadratic. We write it in standard form and apply the quadratic formula. 0 = x2 - 10x + 40 10 + /100 – 4(1)(40) 2 10 + /100 - 160 2 10 + - 60 2 10 + 2-15 2 = 5+ /-15 = 5+i/15 y= 5=i/15 Use the method shown above to solve the system of equations. x+y = 8 xy = 52
Ox=4 + 5i, y= 4 – 5i; x= 4 - 5i, y = 4 + 5i O x= 8 + 6i, y = 8 - 6i; x= 8 - 6i, y = 8 + 6i O x= 8+ 5i, y = 8 - 5i; x= 8 - Si, y = 8 + 5i O x=4 + 6i, y = 4 - 6i; x= 4 - 6i, y = 4 + 6i O x=4 + 5i, y = 4 + 5i; x= 4 - Si, y=4 - 5i
Transcribed Image Text:Ox=4 + 5i, y= 4 – 5i; x= 4 - 5i, y = 4 + 5i O x= 8 + 6i, y = 8 - 6i; x= 8 - 6i, y = 8 + 6i O x= 8+ 5i, y = 8 - 5i; x= 8 - Si, y = 8 + 5i O x=4 + 6i, y = 4 - 6i; x= 4 - 6i, y = 4 + 6i O x=4 + 5i, y = 4 + 5i; x= 4 - Si, y=4 - 5i
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