How do you solve 2(x2)23=50?

1 Answer
Apr 10, 2015

If 2(x2)23=50
then
(x2)23=25

If we cube both sides we get
(x2)2=253=25252

or
(x2)21252=0

remember that anything of the form
(a2b2) can be factored as (ab)(a+b)

we have
((x2)125)((x2)+125)=0
or
(x127)(x+123)=0

so
x=127
or
x=123