Question

Determine the nature of the solutions of the equations (how many solutions):
x^2-18x+81=0

Answer 1

\[(x-9)^2\]

Answer 2

x = 9

Answer 3

Note that x^2 - 18x + 81 = (x - 9)^2.

So this is equal to zero if and olnly if x - 9 = 0 , i.e., x = 9.

Hence there is just one solution.

Answer 4

only one real root
x=9