



So now
we can deal with stuff like ...






X^{2} =
64 





What
about stuff like this? 











Can we
solve this one for X? 





Sure. 


In
fact, 


we can do
it a couple of different ways ... 





FIRST WAY 


We know
that ... 











So if ... 











We just
substitute in the 6 ... 











So X
equals 36. 





That way
works really nice 


when the
problems are easy. 





But
sometimes we need another way. 





Remember
that we can do most anything we want 


on one
side of the = 


as long
as we do the same thing to the other side. 





So here's
what we do ... 











We put an
exponent of 2 on everything 


on each
side of the equation. 





If we
write out each side with multiplication 


instead
of exponents, 


we get
... 











The same
answer, 


wonderful
! 





Here's a
very important point that you
should see ... 











We can
also show why ... 











Wanna
see? 





No? 





Well here
it is anyway ... 





Just what
does that last thing say? 











So what
times itself equals X ^{2}? 





X






copyright 2005 Bruce Kirkpatrick 
