Question

How many and what type of solution(s) does the equation have?

Answer 1

Let's use the quadratic formula:

2w² - 20w + 50 = 0
a = 2  b = -20  c = 50


x = -b +-sq root(b^2 - 4*a*c) / 2*a
x = --20 +-sq root(400 -4*2*50) / 4
x = 20 +-sq root(400 -4*2*50) / 4
x = 20 +-sq root( 0) / 4
x = 20 / 4 =5
I'd say it has one rational solution. 
It does NOT have 2 solutions because the "plus / minus" section = 0.