Positive 7040

Find all positive integers x and y for which:

1 / x + 1 / y = 1/4

Correct answer:

x1 =  5
y1 =  20

Step-by-step explanation:

x + y = 1/4xy 4x+4y = xy  x1=5, y1=20 x2=6, y2=12 x3=8, y3=8 x4=12, y4=6 x5=20, y5=5 x1=5
y1=1/41/x11=1/41/51=20

The equations have the following integer solutions:
4 * (1/x + 1/y ) = 4 * ( 1/4 )
x>0
y>0


Number of solutions found: 5
x1=5, y1=20
x2=6, y2=12
x3=8, y3=8
x4=12, y4=6
x5=20, y5=5

Calculated by our Diofant problems and integer equations.



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