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anonymous
 5 years ago
Write a nonlinear system of equations in two variables to model the application problem. Solve the system of equations algebraically. Show your work.
Find two complex numbers, x and y, whose sum is 10 and whose product is 29.
anonymous
 5 years ago
Write a nonlinear system of equations in two variables to model the application problem. Solve the system of equations algebraically. Show your work. Find two complex numbers, x and y, whose sum is 10 and whose product is 29.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just follow the given info: x+y=10 x*y=29 this is your system. you can express x in term of y or y in a term of x from the first equation & substitute in second. Solve it for the variable.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x + y = 10 ...(1) xy = 29 ...(2) from (2), x = 29/y put that into (1): 29/y + y = 10 (29+y²)/y = 10 29+y² = 10y y² + 10y + 29 = 0\[y = [ 10 \pm \sqrt{100116} ] / 2\]\[y = [10\pm2\sqrt{4}] / 2\]\[y=5\pm \sqrt{4}\]\[y=5\pm2i\] x + (5+2i) = 10 and x + (52i) = 10 so x = 10+52i or 10+5+2i\[x = 5\pm2i\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0When y = 5+2i, x = 52i When y = 52i, x = 5+2i
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