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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
Problem 1E: These exercises refer to the following system: If we add 2 times the first equation to the second...
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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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