(H+2)*h=20, so what is h.

Question

I know through trial and error h=3.5825 - but want to know how to work it our logically, I can simplify to h= √(20-2h)

Answer 1

If H is the same as h, you should use the same symbol. I assume you meant to to say

(h + 2)h = 20

h² + 2h = 20

h² + 2h - 20 = 0

Now solve for h using the quadratic formula.

a = 1

b = 2

c = -20

h = [-b ± √(b² - 4ac)] / (2a)

Plug in the numbers and get

h ≅ 3.5826

h ≅ -5.5826