Question

Solve ~

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

ty! :) ​

Answer 1

x^2-5x+6=0

By splitting the middle term

x^2-3x-2x+6=0

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

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

so, roots are x=2or3.

Hope this helps uhh!!!

Answer 2

`\huge\text{Hey there!}`

`\mathsf{x^2 - 5x + 6 = 0}\\\\\large\text{FACTOR the LEFT SIDE of THE EQUATION}\\\\\mathsf{(x - 2)(x - 3) = 0}\\\\\large\text{SET the FACTORS to EQUAL to 0}\\\\\mathsf{x - 2 = 0\ or\ x - 3 = 0}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x = 2\ or\ x = 3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 2\ or\ x = 3}}}\huge\checkmark`

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