1. Solve the rational equations algebraically and find exact solutions: 2 3 (i) x - x - 12 091 CT (ii) 2.r x2 + 7:x+10 x+5 2 8 (iii) 2+4 4x + 3 8 (iv) x - 3 3 3.r - 9 x2 - 4r + 4 x2-4 12 3 2 (v) 6x - = 1 (vi) 12 -1-6 3-t t+2 (vii) 1 r+1 +1 x2+4x+3 3x - 10 (viii) x2 - 2x - 15 x2 - x - 12 x2 - 9x + 20 2. Solve the radical equations algebraically and find exact solutions: (i) v3r+1-4 =1 (ii) V6x - 1 = 3 (iii) 2+1/2 - 5 =9 (iv) vz + 10 + 2 = 2 (v) lly +3-y = 3 (vi) va+2- Vx - 3 = 1 (vii) 3- x = Vx-1-2 (viii) x = v5x - 11 + 2 3. If f(x) = 3x - 2, g(x) = x + 1, find the intersection point(s) of the graphs algebraically. 4. If f(x) = vx+1- v5x + 1, find all value(s) a such that f(a) = -2