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Solve the equation 2x2 - 5x + 3 by the method of completing the square method. |
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Answer» 2x2 - 5x + 3 = 0 2x2/2 - 5x/2 + 3/2 = 0 (dividing both sides by 2) x2 - 5x/2 + 3/2 = 0 [x2 - 5x/2 + (5/4)2] - (5/4)2 + 3/2 = 0 [x - 5/4]2 - 25/16 + 3/2 = 0 [x - 5/4]2 - (25-24)/16 = 0 [x - 5/4]2 - 1/16 = 0 [x - 5/4]2 = 1/16 x - 5/4 = ± 1/4 (square rooting on both sides) x = 1/4 + 5/4 or x = -1/4 + 5/4 x = (1+5)/4 or x = (-1+5)/4 x = 6/4 or x = 4/4 x = 3/2 or x = 1 |
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