Solve for h:
624 = h^2-h
624 = h^2-h is equivalent to h^2-h = 624:
h^2-h = 624
Add 1/4 to both sides:
h^2-h+1/4 = 2497/4
Write the left hand side as a square:
(h-1/2)^2 = 2497/4
Take the square root of both sides:
h-1/2 = sqrt(2497)/2 or h-1/2 = -sqrt(2497)/2
Add 1/2 to both sides:
h = 1/2+sqrt(2497)/2 or h-1/2 = -sqrt(2497)/2
Add 1/2 to both sides:
Answer: | h = 1/2+sqrt(2497)/2 or h = 1/2-sqrt(2497)/2
