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• (3-y)(2y-1) = 0
•> 3-y = 0
~~ -y+3 = 0
~~ -y = -3
~~ y = 3
•> 2y-1 = 0
~~ 2y = 1
~~ y = 1/2
Hp { 1/2 , 3 } #A
7)
• x^2 -5x +6 = 0
• (x-2)(x-3) = 0
• x = 2 | x = 3
Hp { 2, 3 } #D
8)
• 3x^2 +21x +36 = 0
• x^2 +7x +12 = 0
• (x+3)(x+4) = 0
• x = -3 | x = -4
Hp { -4, -3 } #B
9)
• 8 -3p(p+1) = -10
• 8 -3p^2 -3p +10 = 0
• -3p^2 -3p +18 = 0
• -p^2 -p +6 = 0
• -1(p^2 +p -6) = 0
• (-1)(p+3)(p-2) = 0
• (-p-3)(p-2) = 0
• p = -3 | p = 2
Hp { -3, 2 } #B
10)
• (1)/(2x-1) - (1)/(2x) = 1/6
• (2x - [2x-1])/(2x-1)(2x) = 1/6
• (2x -2x +1)/(4x^2 -2x) = 1/6
• (1)/(4x^2 -2x) = 1/6
• 6 = 4x^2 -2x
• 4x^2 -2x -6 = 0
• 2x^2 -x -3 = 0
• (2x-3)(x+1) = 0
• x = 3/2 | x = -1
Hp { -1, 3/2 } #A
8. B
10. A
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