Answer:
x = 2
x = 3
Step-by-step explanation:
to find x in the equation:
x^2 - 5x + 6 = 0
you need to factorise it.
to factorise it we need to find 2 numbers that multiply to make positive 6, but add to make negative 5:
factors of 6:
1 and 6 (1 + 6 = 7 so not this one)
2 and 3 (2 + 3 = 5 works, but we need negative 5 so we could do -2 x -3)
so the factorised form of x^2 - 5x + 6 = 0 is:
(x - 2) (x - 3) = 0
the 2 solutions for x:
x - 2 = 0
x = 2
and
x - 3 = 0
x = 3
hope this helps :)
