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Answer (1)
Answer:It seems there are some typos and formatting issues in your request, but I'll do my best to interpret it and identify which equations are quadratic, write them in standard form (ax^2 + bx + c = 0), and determine the values of a, b, and c.Let's break down each potential equation:Equation 1: 2 negative t squared = 1Assuming this means 2 - t^2 = 1 * Standard Form: -t^2 + 2 - 1 = 0 -t^2 + 1 = 0 * Values of a, b, c: a = -1 b = 0 c = 1This is a quadratic equation.Equation 2: 3 x - 1 2 = 0Assuming this means 3x - 12 = 0 * Standard Form: This is a linear equation, not quadratic. A quadratic equation must have a term with the variable squared.This is NOT a quadratic equation.Equation 3: 3 and + 2 = 0Assuming this means 3n + 2 = 0 * Standard Form: This is a linear equation, not quadratic.This is NOT a quadratic equation.Equation 4: y y + 3 and = -2Assuming this means y(y + 3) = -2 * Standard Form: y^2 + 3y = -2 y^2 + 3y + 2 = 0 * Values of a, b, c: a = 1 b = 3 c = 2This is a quadratic equation.Equation 5: - 5x -2 = 12Assuming this means -5x - 2 = 12 * Standard Form: This is a linear equation, not quadratic.This is NOT a quadratic equation.Summary of Quadratic Equations: * Equation: 2 - t^2 = 1 * Standard Form: -t^2 + 1 = 0 * Values: a = -1, b = 0, c = 1 * Equation: y(y + 3) = -2 * Standard Form: y^2 + 3y + 2 = 0 * Values: a = 1, b = 3, c = 2
