Question

The collection of numbers which satisfy the equation x²-5x+6=0

Answer 1

Answer:

$x = 2 \: \: and \: \: \: x = 3 \\ \\ collection \: of \: numbers \: \: \: 2 \: \: and \: \: 3$

Step-by-step explanation:

${x}^{2} - 5x + 6 = 0 \\ \\ {x}^{2} - 3x - 2x + 6 = 0 \\ \\ x(x - 3) - 2(x - 3) = 0 \\ \\ (x - 3)(x - 2) = 0 \\ \\ therefore \: \: \: x = 2 \: \: and \: \: \: x = 3$

Answer 2

Answer:

Step-by-step explanation:

x^2 -5x+6= 0

-5x can be written as -3x-2x

so, x^2-3x-2x+6

x(x-3)-2(x-3)

factors of x^2 -5x+6 : (x-3)(x-2)