Question

1- (2x - 5)² - (2x + 3) (2x - 2) = 0
2- (2x-3)² /4 - 3x² /3 = 0

Answer 1

a)
(2x - 5)² - (2x + 3).(2x - 2) = 0
(4x² - 2.2x.5 + 25) - (4x² - 4x + 6x - 6) = 0
(4x² - 20x + 25) - (4x² + 2x - 6) = 0
4x² - 20x + 25 - 4x² - 2x + 6 = 0
4x² - 4x² - 20x - 2x + 25 + 6 = 0
- 22x + 31 = 0
- 22x = - 31 ( - 1)
22x = 31
x = 31
      22
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b)

(2x - 3)²  -  3 x²  = 0
      4           3

4x² - 2.2x.3 + 9  - x² = 0
            4

4x² - 12x + 9 - x² = 0
        4

mmc = 4

4x² - 12x + 9 - 4x² = 0
- 12x + 9 = 0
- 12x = - 9 ( - 1)
12x = 9  (:3)
4x = 3
x = 3/4

x =  3
       4
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