Solve for q. q^2 - 14q + 13 = 0 Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. q = ____

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Solve for q. q^2 - 14q + 13 = 0   Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. q = ____

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Identify Coefficients: Identify the coefficients in the quadratic equation q^2 - 14q + 13 = 0. Here, a = 1, b = -14, and c = 13. We need to find two numbers that multiply to ac (which is 13) and add up to b (which is -14).Find Multiplying Numbers: Find two numbers that multiply to 13 and add up to -14. The numbers -1 and -13 satisfy these conditions because -1 * -13 = 13 and -1 + -13 = -14.Write Original Equation: Write the original equation by splitting the middle term using the two numbers found in Step 2. q^2 - 14q + 13 = q^2 - q - 13q + 13Factor by Grouping: Factor by grouping. Group the terms to factor out the common factors. (q^2 - q) - (13q - 13) = q(q - 1) - 13(q - 1)Factor out Common Factor: Factor out the common binomial factor (q - 1). (q - 1)(q - 13) = 0Set Factors Equal: Set each factor equal to zero and solve for q. q - 1 = 0 or q - 13 = 0 If q - 1 = 0, then q = 1. If q - 13 = 0, then q = 13.

Solve for $q$ . $\newline$ $q^2 - 14q + 13 = 0$ $\newline$ Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $\newline$ q = ____

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Solve for qqq.\newlineq2−14q+13=0q^2 - 14q + 13 = 0q2−14q+13=0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlineq = ____

Solve for $q$ . $\newline$ $q^2 - 14q + 13 = 0$ $\newline$ Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $\newline$ q = ____