Answer:
[tex]x^2-10x+16[/tex]
Step-by-step explanation:
The way I would find the equation is by finding the factored form of the equation form. That equation would be (x-2)(x-8). These are correct because if you set both of these equal to zero, your x-values will be equal to 2 and 8.
x-2=0
x=2
x-8=0
x=8
If you want the standard form of the equation, all you have to do is multiply it out.
[tex](x-2)(x-8)\\x(x-8)-2(x-8)\\x^2-8x-2x+16\\x^2-10x+16[/tex]
Boom. There's your answer!