Question

How do you solve `x² - 5x + 6 = 0`?

Answer 1

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`