Answer:
[tex]x=2[/tex] OR [tex]x=3[/tex]
Step-by-step explanation:
Given equation:
[tex]x^2 -5x+6=0[/tex]
Solving the equation for 'x':
Using factorization method:
[tex]x^2-2x-3x+6=0[/tex]
Making the factors by taking common:
[tex]x(x-2)-3(x-2)=0\\(x-2)(x-3)=0[/tex]
[tex]x-2=0\\\\x=2[/tex]
OR
[tex]x-3=0\\\\x=3[/tex]
