Question

Solve for a ~

`a {}^(2) - 5a + 6 = 0`

thankyou ~​

Answer 1

`a = 3 \: \: \: and \: \: a = 2`

Explanation:

⬇

`a^(2) - 3a - 2a + 6 = 0`

⬇

`a \: (a - 3) \: \: (a - 2)`

⬇

`{}\ a - 3 = 0 \\ a = 2{}`

Answer 2

Hi there!

Given equation :-

`\:\mathsf{a^2\:-\:5a\:+\:6\:=\:0}`

Now

=> By splitting the middle term

=>
`\:\mathsf{a^2\:-\:2a\:-\:3a\:+\:6\:=\:0}`

=>
`\:\mathsf{a(a\:-\:2)\:-\:3(a\:-\:2)\:=\:0}`

=>
`\:\mathsf{(a\:-\:2)\:-\:(a\:-\:3)\:=\:0}`

We get ,

=>
`\:\sf{a\:=\:2\: and\: a\:=\:3}`

`\:\mathsf{Hope\:this\:helps\:you!\::)}`

Thank you!