B
Step-by-step explanation:
First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial
. We can now use the quadratic formula to solve.
Remember that the quadratic formula is
![\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}](/tpl/images/0931/7728/79ea3.png)
Substitute the numbers from the equation into the formula.
![\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}](/tpl/images/0931/7728/f55ef.png)
Simplify:
![\frac{10+/-\sqrt{100-52} }{2}](/tpl/images/0931/7728/afe45.png)
![\frac{10+/-\sqrt{48} }{2}](/tpl/images/0931/7728/116f7.png)
Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with
.
Hope this helps!