2x^2-7x+3,find value of x by completing the square
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Answer:
x = 1/2 or x = 3
Hope this helps you.
2x² - 7x + 3 = 0
=> x² - (7/2)x = -3/2
=> ( x - 7/4 )² = -3/2 + (7/4)²
=> ( x - 7/4 )² = -24/16 + 49/16 = 25/16
=> x - 7/4 = ±5/4
=> x = 7/4 ± 5/4 = ( 7 ± 5 ) / 4
=> x = (7-5)/4 = 2/4 = 1/2 OR x = (7+5)/4 = 12/4 = 3
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