Solve this equation
X - Y = 5
1/X - 1/Y = 1/10
Answers
Answered by
2
Answer:
X = (5 ± 5i√7)/2
Y = (-5± 5i√7)/2
Step-by-step explanation:
X - Y = 5 - Eq 1
1/X - 1/Y = 1/10 Eq 2
Multiplying both sides by XY
=> 10Y - 10X = XY
=> -10(X-Y) = XY
=> -10(5) = XY
=> XY = - 50
Squaring eq 1 on both sides
X² + Y2 - 2XY = 25
=> X² + Y² + 2XY - 4XY = 25
=> (X+Y)² = 25 + 4XY
=> (X+Y)² = 25 + 4(-50)
=> (X + Y)² = 25 - 200
=> (X + Y)² = -175
=> X + Y = ± 5i√7
X - Y = 5
Adding both
X = (5 ± 5i√7)/2
Y = (-5± 5i√7)/2
Similar questions