Question

If x + y = 10 and xy = 2, find the value of 1/x + 1/y

Answer 1

Answer:

5

Step-by-step explanation:

x+y = 10

x*y=2

1/x + 1/y = (x+y)/(x*y) = 10/2 = 5

But the roots are imaginary

x = (5 + 2*sqrt{23})/2

y = (5 - 2*sqrt{23})/2