Answer:
The integers are
-33 and -31 or 31 and 33
Step-by-step explanation:
Let
x ----> the first odd integer
x+2 ----> the second consecutive odd integer
we know that
[tex]x(x+2)=1,023[/tex]
Apply distributive property left side
[tex]x^2+2x=1,023[/tex]
[tex]x^2+2x-1,023=0[/tex]
Solve the quadratic equation by graphing
using a graphing tool
The solutions are x=-33 and x=31
see the attached figure
so
For x=-33
x+2=-33+2=-31
For x=31
x+2=31+2=33
Verify
[tex](-33)(-31)=1,023[/tex] ----> is ok
[tex](31)(33)=1,023[/tex] ----> is ok
therefore
The integers are
-33 and -31 or 31 and 33
