Solve x2 − 10x = −13. A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2

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

Substitute the numbers from the equation into the formula.

Simplify:

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!