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$-83\sqrt{2}$ is a root of $f(x) = x^2 - 13,778$ . 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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Precalculus

Conjugate root theorems

Full solution

-83\sqrt{2}

is a root of

f(x) = x^2 - 13,778

. 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.

Identify Given Root: Since $-83\sqrt{2}$ is a root, the other root will also be $-83\sqrt{2}$ because the roots of a quadratic equation are always in pairs when they are irrational and not real.

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View all (24)

−832-83\sqrt{2}−832​ is a root of f(x)=x2−13,778f(x) = x^2 - 13,778f(x)=x2−13,778. 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.

$-83\sqrt{2}$ is a root of $f(x) = x^2 - 13,778$ . 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.