0
x + y = -7
xy = 2
Solve the second equation for y.
y = 2/x
Substitute the value for y into the first equation.
x + 2/x = -7
Multiply both sides of the equation by x.
x2 + 2 = -7x
Rearrange the equation.
x2 + 7x + 2 = 0
Use the quadratic formula to solve.
x = -b + sq root (b2 - 4ac) / 2a
or x = -b - sq root (b2-4ac) / 2a
a = 1
b = 7
c = 2
x = -7 + sq root (72 - 4*1*2)/2*1=-7 + sq rt (41)/2 = -0.2984
or x = -7 - sq rt (72 - 4*1*2)/2*1 = -6.7016
Use the first equation to solve for y after subtituting in x.
x + y = -7
y = -7 - x
y = -7 - (-0.2984) = -6.7016
or y = -7 - (-6.7016) = -0.2984
So one number is -6.7016 and the other is -0.2984. It doesn't matter which one is x and which is y.
Test the numbers.
-6.7016 + -0.2984 = -7
-6.7016 X -0.2984 = 2
These numbers are rounded to 4 decimal places. If you want to be more or less precise, you could take any number of decimal places that you want.
