Find all real numbers a that satisfy
1/(a^3 + 7) = -a^3/(a^3 + 7)
1 a3
Set it up like this ––––––– = – ––––––––
(a3 + 7) (a3 + 7)
Multiply both sides
by (a3 + 7) and obtain 1 = – a3
Multiply both sides
by –1 and obtain a3 = –1
The only value I know that
will satisfy the equation is a = –1
By the way.....
When you look at the denominator in the expressions, the
first thing that should leap out at you is that you can never
cause a3 to equal –7 because that would result in a division
by zero, which is the only forbidden function in mathematics.