Q1) Determine whether the roots of the each quadratic are real or nonreal and whether they are equal or unequal. (5 marks) a) 2x+3x-2=0 b) 4x+4x+1=0 Q2) Solve for X by factoring: 3x(x-3) + 22 = 2x + 4(x-5) (If you solve it by another method, you do not get any mark) (5 marks) 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 (If you solve it by another method, you do not get any mark) (5 marks) 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) (5 marks)