1. Solve the equation -2x^2-16x-24=0 graphically. Show the necessary work for full marks. Include a minimum of 5 points on your graph.
2. Solve each of the following equations by factoring. Do not use the quadratic formula.

a) x^2+9x+8=0

b) x^2/3 +x/2 =5/6

3.Solve -3x^2+7x-9=0 using the quadratic formula. Express answers as exact roots.

4.Provide a formal check to show that x=(2/5) is the solution to the equation 25x^2+4=20x

5.SET UP the following word problems. Appropriate let statement(s), a clearly labelled

diagram (where appropriate) and an equation, simplified in the form ax^2+bx+c=0 expected.

DO NOT SOLVE.

a) The sum of an integer and its square is 210. Determine the integer.

b) A right triangle has a hypotenuse of 34 cm. If the sum of the other two side

lengths is 60 cm, determine the lengths of the other 2 sides.

6.Provide appropriate let statement(s), diagram, equation, full algebraic solution and

conclusions for following word problem.

An outdoor rectangular swimming pool measures 20 metres by 15 metres. It is to have

a deck of uniform width constructed on the north and west side of the pool. The area

of the deck will equal the area of the pool. Determine the width of the deck, to one

decimal place.