Answer: [tex]x=8[/tex]
Step-by-step explanation:
Given the quadratic function [tex]0=x^2-16+64[/tex], you need to follow these steps:
1. You must substitute [tex]f(x)=0[/tex] into the function:
[tex]0=x^2-16+64[/tex]
2. Now you need to factor the quadratic equation. Choose two numbers whose sum be -16 and whose product be 64.
These numbers are: -8 and -8.
Since the root appears twice, it is a "Double root". Then:
[tex](x-8)^2=0\\\\x=8[/tex]
