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Start with your equation Move the # term to the other side, and leave a space Determine what HALF of the coefficient of X is Factor the left side Write the left side as a single factor squared Take the square root of both sides Simplify each square root Set the left side equal to each answer from the right Solve each of the equations for X Combine like terms on the right side of the equation Square that number, and add it to both sides Completing the Square

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Start with your equation Move the # term to the other side, and leave a space Determine what HALF of the coefficient of X is Factor the left side Write the left side as a single factor squared Take the square root of both sides Simplify each square root Set the left side equal to each answer from the right Solve each of the equations for X Combine like terms on the right side of the equation Square that number, and add it to both sides

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Completing the Square Start with your equation Move the # term to the other side, and leave a space Determine what HALF of the coefficient of X is Factor the left side Write the left side as a single factor squared Take the square root of both sides Simplify each square root Set the left side equal to each answer from the right Solve each of the equations for X Combine like terms on the right side of the equation Square that number, and add it to both sides

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EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x 2 = 8 SOLUTION a. 2x 2 = 8 Write original equation. x 2 = 4 Divide each side by 2. x = ±

EXAMPLE 1 Solve quadratic equations Solve the equation. a. 2x 2 = 8 SOLUTION a. 2x 2 = 8 Write original equation. x 2 = 4 Divide each side by 2. x = ±

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