x + y = 5
xy = 750
find x and y
You asked:
Given \( x + y = 5 \), \( x y = 750 \), evaluate \( x \), \( y \).
MathBot Answer:
The system of equations has \(2\) solutions.
\[x = \frac{5}{2} - \frac{5 \sqrt{119} i}{2}, y = \frac{5}{2} + \frac{5 \sqrt{119} i}{2}\]\[x = \frac{5}{2} + \frac{5 \sqrt{119} i}{2}, y = \frac{5}{2} - \frac{5 \sqrt{119} i}{2}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).