Question

LEFT

What are the roots of the equation x2 - 5x + 6 = 0?

a.1 and -6


b.2 and 3
C. -1 and 6
D. -2 and 43​

Answer 1

b. 2 and 3

Explanation:

Solve for x

`x^(2) - 5x + 6 = 0`

Now factor

`(x - 2)(x - 3) <---` It would be -2 and -3 because they add up to -5 and multiply to be 6 (a negative times a negative always equal a positive)

Don't forget that it's still equal to 0

`(x-2)=0`
`(x-3)=0`

Now solve for x in both equations

`x-2=0`
`x-3=0`

`+2`
`+2` add 2 to both sides
`+3`
`+3` add 3 to both sides

`x=2`
`x = 3`