Solve the equation given in example 3 by the method of completing the square
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Answer:
2x^2 - 5x + 3 = 0
=> 2x^2/2 - 5x/2 + 3/2 = 0 (dividing both sides by 2)
=> x^2 - 5x/2 + 3/2 = 0
=> [x^2 - 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
=> x = (1+5/4)
=> x = 6/4
=> x = 3/2
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