Solve the equations 3x^2 - 5x +2 = 0 by the method of completing yhe square
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3x² - 5x + 2 = 0
on multiplying each term by 3______
9x² - 15x + 6 = 0
(3x)²- 2.(3x).(5/2) + (5/2)²- (5/2)² + 6 = 0
(3x - 5/2)²- 25/4 + 6= 0
(3x - 5/2)² = 1/4
3x - 5/2 = +1/2, -1/2
3x = 1/2 + 5/2 or 3x = 5/2 - 1/2
3x = 3 or 3x = 2
x = 1 , x = 2/3
on multiplying each term by 3______
9x² - 15x + 6 = 0
(3x)²- 2.(3x).(5/2) + (5/2)²- (5/2)² + 6 = 0
(3x - 5/2)²- 25/4 + 6= 0
(3x - 5/2)² = 1/4
3x - 5/2 = +1/2, -1/2
3x = 1/2 + 5/2 or 3x = 5/2 - 1/2
3x = 3 or 3x = 2
x = 1 , x = 2/3
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