The expression x²-14x+31=63 is a quadratic equation. To solve it, you must order it:
x²-14x+31-63=0
x²-14x-32=0
Then, you must apply the quadratic formula, which is shown below:
x=(-b±√(b^2-4ac))/2a
So you have the values of a,b and c:
:
a=1
b=-14
c=-32
When you substitute those values in the quadratic formula, you obtain:
x=(-(-14)±√((-14)^2-4(1)(-32))/2(1)
x1=-2
x2=16
So, the correct option is the third one: x=-2 or x=16