The expression for a standard quadratic equation is expressed as
ax^2 + bx + c = 0
The given equation is
81w^2 + 180w + 100 = 0
By comparing with the standard equation,
a = 81, b = 180, c = 100
The formula for the discriminant is expressed as
b^2 - 4ac
Substituting the values into the discriminant formula, we have
Discriminant = 180^2 - 4 x 81 x 100
Discriminant = 32400 - 32400 = 0
Recall, if discriminant = 0,then the quadratic equation have exactly one solution which is a doube root
