The large van has 23 seats and the small van has 17 seats
X^2 - 8x + 13 = 0
subtract 13 from both sides
x^2 - 8x = -13
-8/2 = -4, (-4)^2 = 16, add 16 to both sides
x^2 - 8x + 16 = -13 + 16
factor the left side
(x - 4)^2 = 3
X intercepts are 2 and -1/2
ANSWER

where,

EXPLANATION
We want to simplify the rational expression

We can observe that the numerator of the given rational expression is a quadratic trinomial and the denominator is a difference of two squares
We need to split the middle term in the numerator and rewrite the denominator as a difference of two squares to obtain,

We now factor to obtain,

This implies that,

We now cancel out common factors to obtain,

The restriction is that, the denominator cannot be zero.
Thus

This implies that,