How do you solve x² - 5x + 6 = 0?

1 Answer
Jun 25, 2015

The solutions are
color(green)(x=2, x=3

Explanation:

x^2 - 5x +6=0
Here we can first factorise the expression and then find the solution:

Factorising by splitting middle term
x^2 color(green)(-2x - 3x) +6=0

x(x-2) -3(x-2)=0
color(green)( (x-2)(x-3) =0
Equating the two factors with zero to obtain solutions:

  • x-2 = 0 ,color(green)( x=2
  • x-3 = 0 , color(green)(x=3