Question 939478
I have to find two numbers that equal 60 when multiplyed and equal 4 when added or subtracted. I can't find any though.
============
x*y = 60
x - y = 4 --> y = x - 4
-----
Sub for y
x*(x-4) = 60
x^2 - 4x - 60 = 0
*[invoke solve_quadratic_equation 1,-4,-60]
-----------------
x = 6
y = 10
====================
x = -6
y = -10
====================
x*y = 60
x + y = 4 --> y = 4 - x
-----
Sub for y
x*(4 - x) = 60
-x^2 + 4x - 60 = 0
x^2 - 4x + 60 = 0
*[invoke solve_quadratic_equation 1,-4,60]
===================
x = 2 + sqrt(56)i, y = 2 - sqrt(56)i
x = 2 - sqrt(56)i, y = 2 + sqrt(56)i