52sqrt 7 is a root of f(x) = x^2 - 18,928. 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. ______

Determine Opposite Root: Since 52sqrt(7) is a root, the other root will also be its opposite because the sum of the roots is the coefficient of x, which is 0 in this case (x^2 has no x term).Identify Other Root: The other root is -52sqrt(7).List All Roots: List the roots: 52sqrt(7), -52sqrt(7).

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$52\sqrt{7}$ is a root of $f(x) = x^2 - 18,928$ . 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.

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Math Problems

Precalculus

Conjugate root theorems

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52\sqrt{7}

is a root of

f(x) = x^2 - 18,928

. 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.

Determine Opposite Root: Since $52\sqrt{7}$ is a root, the other root will also be its opposite because the sum of the roots is the coefficient of $x$ , which is $0$ in this case ( $x^2$ has no $x$ term).
Identify Other Root: The other root is $-52\sqrt{7}$ .
List All Roots: List the roots: $52\sqrt{7}$ , $-52\sqrt{7}$ .