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Homework Quiz 2

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Q Homework Quiz 2 Solutions 1. Solve: 3x2 – 20x = 7 3x2 – 20x – 7 = 0 (3x + 1) (x – 7) = 0 3x + 1 = 0 3x = -1 x = -1/3 x – 7 = 0 x = 7 2. Discriminant of 3x2 – 3x - 4 b2 – 4ac = (-3)2 – 4(3)(-4) = 9 + 48 3. Solve the polynomial equation: 2x4 – 32x2 2x4 – 32x2 = 0 2x2 (x2 – 16) = 0 2x2 (x + 4) (x – 4) = 0 2x2 = 0 x = 0 x + 4 = 0 x = -4 x – 4 = 0 x = 4 ?(5x+24) = x ?(?(5x+24) )?^2 = x2 5x + 24 = x2 x2 – 5x – 24 = 0 (x – 8) (x + 3) = 0 x – 8 = 0 x = 8 Check: ?(5(8)+24) = 8 ?(40+24) = 8 ?64 = 8 8 = 8; TRUE x + 3 = 0 x = -3 ?(5(-3)+24) = -3 ?(-15+24) = -3 ?9 = -3 3 ? -3 (x + 5)3/2 = 8 [(x + 5)3/2]2/3 = (8) 2/3 x + 5 = ?(8^2 ) x + 5 = 4 x = 4 – 5

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1,Solution: {-1/3, 7} 2.= 57 Kind of solutions: two unequal real solutions 3.Solution: {0, -4, 4} 4.Solution: {8} 5.x = -1