Algebra
# Quadratic Equations

You went on a 360km train ride but you are late! If the train had just been 5 km/hr faster, then the train ride would have been one hour shorter.

How fast was the train going?

$x(x+1)(x+2)(x+3)=120$

Find the sum of all the real roots of the equation above.

$\large (x^2 - 5x + 5)^{(x^2 - 11x + 30)} = 1$

How many different integers satisfy the equation above?