Q1) Determine whether the roots of the each quadratic are real or nonreal and whether they are equal or unequal. (5 marks) a) 2x2 + 3x - 2 = 0 b) 4x2 + 4x + 1 = 0 Q2) Solve for X by factoring: 3x(x - 3) + 22 = 2x3 + 4(x - 5) (5 marks) (If you solve it by another method, you do not get any mark) Q3) Solve for X by completing the square: 2x?+ 3x -3= 0. You can leave the answer in fraction/radical form. (If you solve it by another method, you do not get any mark) (5 marks)Q4) Solve for x using the Quadratic Formula: 3x? - 10x + 4 = 0 (5 marks) (If you solve it by another method, you do not get any mark Q5) A rectangle has a width that is 6 meters shorter than its length and an area of 27 m?. Determine its dimensions. (You can solve by any method) (5 marks) Q6) One leg of a right triangle is 3.0 cm greater than the other leg, and the hypotenuse is 15 cm. Find the dimension of legs of the triangle. (You can solve by any method)