Quadratic Problems. The sides of an existing square warehouse are to be extended by 5 metres and 8 metres. The area of the new extended warehouse will.

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Presentation transcript:

Quadratic Problems

The sides of an existing square warehouse are to be extended by 5 metres and 8 metres. The area of the new extended warehouse will be 340m2. The existing warehouse (shaded) and planned extension are shown in the diagram below.

Solve the equation (x + 8)(x + 5) = 340 to find the new dimensions.

Cannot have a negative so x = 12

Old dimensions 12m x 12m New dimensions 20m x 17m

A ball bearing rolls down a slope labeled AB. The time, t seconds, for the ball bearing to reach B is the solution to the equation t 2 + 5t = 36. How long does it take for the ball bearing to reach B?

T = 4 as you can’t have negative time

A field is 40 m longer than it is wide. The area of the field is 3200 m2 What is the length and width of the field? x x + 40

A field is 40 m longer than it is wide. The area of the field is 3200 m2 What is the length and width of the field? x x + 40

A field is 40 m longer than it is wide. The area of the field is 3200 m2 What is the length and width of the field? x x + 40

The length is 80m and width is 40m x x + 40

A golf ball is hit into the air. Its flight can be calculated by the equation: h=40t-8t 2 where h=height from the ground And t=time in the air. Find the time taken for the ball to reach a height of 48 metres. Explain why there are two possible values.

A golf ball is hit into the air. Its flight can be calculated by the equation: h=40t-8t 2 where h=height from the ground And t=time in the air. Find the time taken for the ball to reach a height of 48 metres. Explain why there are two possible values.

A golf ball is hit into the air. Its flight can be calculated by the equation: h=40t-8t 2 where h=height from the ground And t=time in the air. Find the time taken for the ball to reach a height of 48 metres. Explain why there are two possible values.

The height is modelled by a parabola and hence it will reach 48 metres on the way up and again on the way down.

To find two positive consecutive odd integers whose product is 99 we can use the following logic: x is the first integer x + 2 is the second integer therefore x(x + 2) = 99 Continue with the logic to find the answer.

To find two positive consecutive odd integers whose product is 99 we can use the following logic: x is the first integer x + 2 is the second integer therefore x(x + 2) = 99 Continue with the logic to find the answer.

The integers are 9 and 11 To find two positive consecutive odd integers whose product is 99 we can use the following logic: x is the first integer x + 2 is the second integer therefore x(x + 2) = 99 Continue with the logic to find the answer.