Answer:
2√6
Step-by-step explanation:
x + y = 6
xy = 3
Square the first equation.
x² + 2xy + y² = 36
Subtract 4xy from both sides.
x² − 2xy + y² = 36 − 4xy
Factor.
(x − y)² = 36 − 4xy
Substitute.
(x − y)² = 36 − 4(3)
(x − y)² = 24
Take square root.
x − y = ±√24
x − y = ±2√6
Take absolute value.
|x − y| = 2√6
