Answer
Fill the blank with:
the quadratic formula
Work Step by Step
This does not have the form to directly apply the square root principle.
We would then perhaps, try to factor:
search for factors of $-10$ whose sum is $5$... and not find any.
Completing the square has the term $5x=2\displaystyle \cdot\frac{5}{2}x$, which has a fraction, so we'd rather not (if we don't have to).
So, we turn to the quadratic formula,
$x=\displaystyle \frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$
with $a=1, b=5, c=-10$
and find the solutions.
Fill the blank with:
the quadratic formula
