(1) Solve the following quadratic equations by factorization method.
(i) (2x + 3)2-81 = 0 Solution
(ii) 3x2–5x–12 = 0 Solution
(iii) √5 x2+2x–3√5 = 0 Solution
(iv) 3(x2–6) = x(x+7)–3 Solution
(v) 3x–(8/x) = 2 Solution
(vi) x+(1/x) = (26/5) Solution
(vii) [x/(x+1)] + [(x + 1)/x] = 34/15 Solution
(viii) a2b2x2 – (a2 - b2) x + 1 = 0 Solution
(ix) 2(x + 1)2 – 5 (x + 1) = 12 Solution
(x) 3 (x – 4)2 – 5(x – 4) = 12 Solution
(2) Solve the following quadratic equations by completing the square
(i) x2+6x–7 = 0 Solution
(ii) x2+3x+1 = 0 Solution
(iii) 2x2+5x-3 = 0 Solution
(iv) 4x2+4bx–(a2-b2) = 0 Solution
(v) (5x+7)/(x–1) = 3x+2 Solution
(3) Solve the following quadratic equations using quadratic formula
(i) x2–7x+12 = 0 Solution
(ii) 15x2–11x+2 = 0 Solution
(iii) x + (1/x) = 2 1/2 Solution
(iv) 3a2x2–abx-2b2 = 0 Solution
(v) a (x2+1) = x(a2+1) Solution
(vi) 36x2–12ax+(a2 - b2) = 0 Solution
(vii) [(x–1)/(x+1)]+[(x–3)/(x–4)] = 10/3 Solution
(viii) a2 x2 + (a2-b2)x-b2 = 0 Solution
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