# Solving Quadratic Equations- Completing the Square

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 What number should be added to both sides of the equation to complete the square? x^2 + 3x = 6 (3/2)^2 What number should be added to both sides of the equation to complete the square? x^2 – 6x = 5 9 Which are the solutions of the quadratic equation? x^2 = 9x + 6 9 – √105/2, 9 + √105/2 Which are the solutions of x^2 = 19x + 1? 19 – √365/2, 19 + √365/2 Which are the solutions of x^2 = -11x + 4? -11 – √137/2, -11 + √137/2 What value of c makes x^2 − 12x + c a perfect square trinomial? 36 What number should be added to both sides of the equation to complete the square? x^2 + 8x = 4 16 Solve x^2 + 14x = −24 by completing the square. What is the solution set of the equation? {−12, −2} Which are the solutions of the quadratic equation? x^2 = -5x – 3 -5 – √13/2, -5 + √13/2 What number should be added to both sides of the equation to complete the square? x^2 + 12x = 11 36

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