X2-14x plus 46 equals 0

Answer 1

This is the generalized trinomial equation (aka quadratic):
y = ax2 - bx - c

Before factoring, always check the discriminant of the quadratic equation, which is:
b2 - 4ac

If it is a rational square (16, 25, 196, 225), then it is factorable. If it is not, then it is not factorable.

In this case, it is not, since the discriminant is equal to 2√3.

Now, you will have to use the quadratic formula:
(-b2 +/- √(b2 - 4ac))/2

This will give you (14 +/- 2√3)/2