Solve by Graphing Solve by Factoring Complex Numbers Solve by Quadratic Formula Applications 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

Solve by graphing x2 + 4x = 0 AOS:_____

{-4, 0}

Solve by graphing x2 + 6x – 7 = 0 AOS:_____

{1, -7}

Between ___ and ___ Between ___and ___ Solve by graphing 4x2 – 6x = 15 Between ___ and ___ Between ___and ___ AOS:_____

Between -1 and -2 Between 2 and 3

Solve by graphing x2 + 5 = -8x -11 AOS:_____

{-4}

Solve by graphing x2 + 2x + 3 = 0 AOS:_____

None

Write the quadratic equation in standard form with given roots {-4, 2}

x2 + 2x - 8 = 0

Solve by factoring. x2 – 4x + 3

{3, 1}

Solve byFactoring. x2 – 169 = 0

{13, -13}

Solve by Factoring. 3x2 – 16x = -5

{1/3, 5}

Solve by Factoring. 2x2 – 2x – 24 = 0

{-3, 4}

Simplify. (2 – i) – (13 + 4i)

-11 – 5i

Simplify. (6 + 5i)(3 – 2i)

28 + 3i

Simplify.

Simplify.

Simplify.

Find the discriminant & explain what the roots will be. x2 – 10x + 25 = 0

D= 0 ;1 real root

Solve using the quadratic formula x2 + 4x = 32

{-8, 4}

Solve using quadratic formula 2x2 + 3x – 18 = 0

Solve using quadratic formula x2 +9 = 2x

Solve using quadratic formula 2x2 + 5x + 9 = 0

Find the new dimensions of the rectangle x - 3 A = 126 ft2 x + 2 Find the new dimensions of the rectangle SOLVE BY FACTORING!!

x = 12 Rectangle is 9 ft by 14 ft

Lauren throws a ball with an initial velocity of 40 feet per second Lauren throws a ball with an initial velocity of 40 feet per second. The equation for the height of the ball is h = -16t2 + 40t + 5, where h represents the height in feet and t represents the time in seconds. When will the ball hit the ground? (SOLVE USING QUADRATIC FORMULA!!)

It will hit the ground in approximately 2.62 seconds.

Craig Hoffheimer wants to build a swimming pool surrounded by a sidewalk of uniform width. He wants the dimensions of the pool and sidewalk to be 16 meters by 20 meters. The pool has an area of 192 square meters. How wide should the sidewalk be?

The sidewalk should be 2m all the way around.

A ball is thrown into the air vertically with a velocity of 112 feet per second. The ball was released 6 feet above the ground. The height above the ground t seconds after release is modeled by H(t) = -16t2 + 112t + 6 When will the ball reach 130 ft? Will the ball ever reach 250 feet? c. In how many seconds after its release will the ball hit the ground?

About 1.4s and 5.6s No, it only goes to 202 In about 7 seconds