We wanna solve negative two x squared
plus five x plus 11 equals zero
using the quadratic formula.
So we'll do x equals negative five
plus or minus the square
root of five squared
minus four times negative two times 11
over two times negative two.
Simplifying what we've got
there in the square root,
we now have negative five
plus or minus the square root of 113
over two times negative
two is negative four.
So our potential answers here will be
x equals negative five
plus the square root of 113
over negative four
or x equals negative five minus
the square root of 113 over negative four.
And then just to clean
this up a little bit,
if we multiply top and
bottom by negative one
so that we don't have a negative
number in the denominator,
we would be left with five minus
the square root of 113 over four
or five plus the square
root of 113 over four.
