to solve this quadratic equation I'm
going to use the technique called
extracting the roots so to isolate the
square first we'll divide by two and be
left with x squared equals one-half okay
and then once the squares by itself we
can then take the square root of both
sides don't forget the plus or minus
when you do that now I'll leave us with
x equals plus or minus the square root
of one-half so the square root of one is
just one and the square root of two is
the square root of two you know that's
not a perfect square okay so here's our
answer but now we need to rationalize
this so let's multiply numerator and
denominator by the square root of two
okay so that tells me answers our x
equals plus or minus one times the
square root of two or the square root of
2 over the square root of for now the
square root of four is perfect square so
in other words plus or minus the square
root of two over two so here we get two
solutions negative square root of 2 over
2 and square root of 2 over 2
