-55sqrt 3 is a root of f(x) = x^2 - 9,075. 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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-55sqrt 3 is a root of f(x) = x^2 - 9,075. 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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Roots Conjugate Pairs: Since -55√3 is a root, the other root must also be -55√3 because the coefficients of the polynomial are real numbers, and non-real roots of polynomials with real coefficients always come in conjugate pairs.Product of Roots: To find the other root, we can use the fact that the product of the roots of a quadratic equation ax^2 + bx + c = 0 is c/a. For f(x) = x^2 - 9,075, a = 1 and c = -9,075.Finding Other Root: The product of the roots is -9,075. So, if one root is -55√3, the other root, let's call it r, must satisfy (-55√3) * r = -9,075.Solving for Other Root: Solving for r, we get r = -9,075 / (-55√3). Simplify this by multiplying the numerator and denominator by √3 to rationalize the denominator.Simplify Fraction: r = (-9,075√3) / (55 * 3). Now, simplify the fraction.Final Result: r = (-9,075√3) / 165. Divide both numerator and denominator by 165.r = -55√3. So, the other root is also -55√3.

$-55\sqrt{3}$ is a root of $f(x) = x^2 - 9,075$ . 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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−553-55\sqrt{3}−553​ is a root of f(x)=x2−9,075f(x) = x^2 - 9,075f(x)=x2−9,075. 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.

$-55\sqrt{3}$ is a root of $f(x) = x^2 - 9,075$ . 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.