Answer:
The numbers are 11 and 13
Step-by-step explanation:
Let
the first odd whole number=x
Reciprocal=1/x
Second odd whole number=x+2
Reciprocal=1/x+2
The difference
(1/x) - 1/(x+2)=2/143
(x+2)-x / (x)(x+2)=2/143
x+2-x/x(x+2)=2/143
2/x(x+2)=2/143
2(143)=2(x^2+2x)
286=2x^2+4x
2x^2+4x-286=0
x^2+2x-143=0
Solve the quadratic Equation
x=-b +or- √b^2-4ac/2a
a=1
b=2
c=-143
x= -b +or- √b^2-4ac/2a
=-2 +or- √(2)^2-(4)(1)(-143) / 2(1)
= -2 +or- √4-(-572) / 2
= -2 +or- √4+572/2
= -2 +or- √576/2
= -2 +or- 24/2
x= -2+24/2
= 22/2
=11
Or
x= -2-24/2
= -26/2
= -13
Taking the positive value
x=11
The second odd whole number=x+2
=11+2
=13
