Answer:
x = 2 , 9
Step-by-step explanation:
[tex] {x}^{2} - 11x + 18 = 0[/tex]
[tex] = > {x}^{2} - 9x - 2x + 18 = 0[/tex]
[tex] = > x(x - 9) - 2(x - 9) = 0[/tex]
[tex] = > (x - 9)(x - 2) = 0[/tex]
Here x will have 2 solutions.
1) [tex]x - 9 = 0[/tex]
[tex] = > x = 9[/tex]
2)[tex]x - 2 = 0[/tex]
[tex] = > x = 2[/tex]
Hence the 2 solutions of x are +2 & +9