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Mathematics, 05.07.2019 05:00 anrs14

Solve the quadratic equation by completing the square. 2x^2 + 2 = 3x express your answer in simplified form. here's my answer, is this correct? 2x^2 + 2 = 3x 2x^2 - 3x + 2 = 0 x^2 - 3/2x + 1 = 0 x^2 – 3/2x = -1 x^2 + 3/2x + 9/16 = -1 + 9/16 (1/2 × -3/2)^2 = 9/16 x^2 + 3/2x + 9/16 = -7/16 (x + ¾)^2 = -7/16 √(x + ¾)^2 = ±√-7/16 x + ¾ = ± i√7/√16 x + ¾ = ± i√7/4 x = -3/4 ± i√7/4 {-3/4 - i√7/4, -3/4 + i√7/4}

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