-70i is a root of f(x) = x^2 + 4,900. 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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-70i is a root of f(x) = x^2 + 4,900. 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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Given Polynomial: The given polynomial is f(x) = x^2 + 4,900. We know that -70i is one of the roots. Since the coefficients of the polynomial are real numbers, the complex roots of polynomials with real coefficients come in conjugate pairs. Therefore, if -70i is a root, then its conjugate, 70i, must also be a root.Conjugate Pairs: To find the other roots, we can use the fact that the product of the roots is equal to the constant term of the polynomial divided by the leading coefficient. For the polynomial f(x) = x^2 + 4,900, the constant term is 4,900 and the leading coefficient is 1. The product of the roots is 4,900.Product of Roots: We can express the product of the roots as (-70i) * (70i) = 4,900. Simplifying the left side gives us (-70i) * (70i) = -4900i^2. Since i^2 = -1, this simplifies to -4900 * -1 = 4,900, which matches the constant term of the polynomial.Final Roots: Since we have found that the product of the roots is indeed 4,900 and we have both roots as -70i and 70i, we have found all the roots of the polynomial f(x) = x^2 + 4,900.

$-70i$ is a root of $f(x) = x^2 + 4,900$ . 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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−70i-70i−70i is a root of f(x)=x2+4,900f(x) = x^2 + 4,900f(x)=x2+4,900. 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______

$-70i$ is a root of $f(x) = x^2 + 4,900$ . 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. $\newline$ ______