Respuesta :

Answer:

[tex]x^2-8x=0[/tex]

Step-by-step explanation:

the quadratic function should be as follows:

[tex]x^2-8x=0[/tex]

Now let's confirm that the zeros of the function are 0 and 8

[tex]x^2-8x=0=x(x-8)=0[/tex]

Therefore we can see that if x = 0

[tex]0^2*8*0=0\\0=0[/tex]

the equation is fulfilled

And we also have [tex](x-8)[/tex]

for this expresion to be equal to zero:

[tex]x-8=0\\x=8[/tex]

thus, if x = 8

[tex]8^2-8*8=0\\64-64=0\\0=0[/tex]

the equation is also fulfilled

The zeros of the quadratic function [tex]x^2-8x=0[/tex] are 0 and 8.

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