Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = y
Equation One
x = 1/2 y + 6;
2x = y + 12
2x - 12 = y
Second Equation
x^2 - y^2 = 99 Substitute for y^2
x^2 - (2x - 12)^2 = 99
x^2 - (4x^2 - 48x + 144) = 99
x^2 - 4x^2 + 48x - 144 = 99
- 3x^2 + 48x - 144 - 99 = 0
- 3x^2 + 48x - 243 = 0 Divide by -3
x^2 - 16x + 81 = 0
Use of the quadratic formula gives
8 +/- 123i
You may not know how to get complex numbers, but that is what this one comes to.
