64i is a root of f(x) = x^2 + 4,096. Find the other roots of f(x). Write your answer as a list of simplified values separated by commas, if there is more than one value. ______

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64i is a root of f(x) = x^2 + 4,096. Find the other roots of f(x).    Write your answer as a list of simplified values separated by commas, if there is more than one value.  ______

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Determine total number of roots: Determine the total number of roots based on the degree of the polynomial. We have: f(x) = x^2 + 4096 The degree of f(x) is 2, which means there are 2 roots for this polynomial.Use conjugate pairs property: Use the fact that non-real roots of polynomials with real coefficients come in conjugate pairs. Given that 64i is a root, its conjugate -64i must also be a root of the polynomial f(x) = x^2 + 4096.Verify roots by substitution: Verify that 64i and -64i are indeed roots of the polynomial by substituting them into the polynomial and checking if the result is zero. Substitute 64i: f(64i) = (64i)^2 + 4096 = -4096 + 4096 = 0 Substitute -64i: f(-64i) = (-64i)^2 + 4096 = -4096 + 4096 = 0 Both substitutions result in zero, confirming that 64i and -64i are roots of the polynomial.

$64i$ is a root of $f(x) = x^2 + 4,096$ . Find the other roots of $f(x)$ . $\newline$ Write your answer as a list of simplified values separated by commas, if there is more than one value. $\newline$ ______

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64i64i64i is a root of f(x)=x2+4,096f(x) = x^2 + 4,096f(x)=x2+4,096. Find the other roots of f(x)f(x)f(x).\newlineWrite your answer as a list of simplified values separated by commas, if there is more than one value.\newline______

$64i$ is a root of $f(x) = x^2 + 4,096$ . Find the other roots of $f(x)$ . $\newline$ Write your answer as a list of simplified values separated by commas, if there is more than one value. $\newline$ ______