Write a quadratic equation that has 2 and 8 as solutions.
Find the equation with 1 as the coefficient of the quadratic term.

Respuesta :

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!