Solve for x ~ x {}^(2) - 5x + 6 = 0 thankyou ~​

Question

Solve for x ~


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

thankyou ~​

Answer 1

`\boxed{\tt x=3,2}`

Explanation:

`\tt x^2-5x+6=0`

Find two numbers that add up to -5 and multiply to 6: (-6 and -2)

Now, rewrite the expression:

`\tt (x-3)(x-2)`

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

Now, Solve for x:

1)

`\tt x-3=0`

`\tt x-3+3=0+3`

`\boxed{\tt x=3}`

2)

`\tt x-2=0`

`\tt x-2+2=0+2`

`\boxed{\tt x=2}`

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