Respuesta :

Answer:

[tex]y = x^2 - 64[/tex]

Step-by-step explanation:

Hello!

We can use the factored form of a Quadratic to find an equation with 8 and -8 as our solution.

Factored Form: [tex]y = a(x - h)(x - k)[/tex]

The value in each parenthesis should be 0. So 8 and -8 can be flipped and used for h and k.

  • [tex]y = a(x - h)(x - k)[/tex]
  • [tex]y = a(x - 8)(x+ 8)[/tex]

This will give roots 8 and -8 for x.

  • [tex]y = 1(x - 8)(x + 8)\\[/tex]
  • [tex]y = x^2 - 64[/tex]

A possible equation is [tex]y = x^2 - 64[/tex].

Answer:

X²-64 = 0

Step-by-step explanation:

[tex](x = 8)\: (x = - 8)= 0 \\= (x - 8 )\: \: (x + 8) \\ x ^{2} + 8x - 8x - 64 = 0 \\ x^{2} - 64 = 0 \\ mark \: brainliest[/tex]