Answer
The solutions are 4 and 9.
Work Step by Step
$x^{2}$-13x+36=0
$x^{2}$-9x-4x+36=0
x(x-9)-4(x-9)=0
(x-4)(x-9)=0
x-4=0 or x-9=0
x-4+4=0+4 or x-9+9=0+9
x=4 or x=9
The solutions are 4 and 9.
Check
Let x=4
(x-4)(x-9)=0
(4-4)(4-9)=0
0(-5)=0
0=0
Let x=9
(x-4)(x-9)=0
(9-4)(9-9)=0
5*0=0
0=0
