How do you solve y squared minus 4y is greater than 5?

Answer 1

First, solve for zero

y2 - 4y > 5

y2 - 4y - 5 > 0

(y - 5)(y + 1) > 0

So where y = 5 and y = -1, the inequality solves for zero. We know that because the term with the highest power of y has a positive coefficient, that this is a parabola which has a limit in the negative, and is infinite in the positive. That means y is less than negative one or greater than 5.

{x | x < -1 OR x > 5, x ∈ ℜ}