to solve this quadratic equation we're
going to use extracting the roots the
first step in extracting roots is to
isolate the square and you can see
that's already the case so once that's
the case you can then take the square
root of both sides so don't forget when
you do that we include the little plus
or minus a square root of this thing
squared is just the argument there 2x
minus 1 equals plus or minus 4 solving
for X then we would add 1 to both sides
that leaves me with x equals 1 plus or
minus 4 so here we get two solutions x
equals 1 minus 4 or x equals 1 plus 4 ok
so that leaves me with x equals negative
3 or x equals 5 so here I get two
solutions and they are negative 3 & 5 no
need to check but you could certainly
plug those back into the original and
see that they work
