Today we're working with the quadratic formula, we have the
equation 2 x squared, plus x minus 1
equal 0 you'll see this look similar to
a x squared
plus b x plus
c equal 0
now a equals 2, b
equals 1 and c equals
-1, our quadratic formula equation
is -b plus
or minus the square root of
b squared minus 4 a c
entirely divided by 2 a
now we can plug in our values
for -b,  we have -1 plus or minus
square root, b squared would be
1 squared and 1 squared is 1, and then
multiplied -4 by
a which is 2 and by c
which is - 1, divid all of that
by 2 times a
we simplify that farther
we have -1 plus or minus
square root 1 and then we have all these numbers multiplied
with the -4 times the 2 should be negative 8
and that multiplied by -1
-8 times -1 makes here
+8 all divid by
now we have 2 times 2 is 4
now to simplify this
we have -1 plus or minus
we have the square root of 1 plus 8
1 plus 8 is 9, and a square root of 9 is
3,  divide all this by 4
because we have this plus or minus
we will have two different equation solutions
For the first
will use the plus, -1
plus 3 all divided by 4
into the second go ahead and use minus
-1 -3
all divided by 4 so here for the first
-1 plus 3 will be
a 2 divided by 4 which is equal to
1/2 and for the second solution
-1 -3 will be a -4
and once we divide by 4
that is equal to -1
and these are your solutions
