Finding Quadratic Polynomial Solutions

A Magical Escape room

Magic Manual

Start

Lesson 01

Haunted Forest: venture forth and reach the end of the path

Magical Progress

add 2 on both sides

divide b by 1/2

Factor it

subtract 2 on both sides

Question 1/4

What is the first step in completing the square in this problem?

Question 2/4

We need to add something on both sides of the equation to complete the square. What is 1/2 b and then squared?

-8

Question 3/4

The next step is to factor the trinomia. What is it in factored form?

(x+2)^2

(x + 4)^2

(x + 16)

(x+2)(x-2)

Grimoire

Question 4/4

After taking the square root of both sides, the solutions are....?

Well done!

Lesson learned!

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You fell!

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Lesson 02

Potions. Drag the circleover the potions tofind the missing letter.

Magical progress

Question 1/4

In this expression, "a" is what value?

Drag the circle and findthe letter.

Question 2/4

In this expression, what is the value of "c" ?

-2

Drag the circle and findthe letter.

Question 3/4

Regardless of whether the solutions are real numbers or complex numbers, most often you will have how many solutions using the quadratic formula?

Drag the circle and findthe letter.

Question 4/4

This part of the quadratic formula is called the discriminant... if the radicand is >0 then you will have 2 real solutions. How many real number solutions does this expression have?

Drag the circle and findthe letter.

Well done!

Lesson learned!

Continue

Oh no! You have added the wrong ingredient to the mixture and created poison, go back to correct the mixture.

It's poison!

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Lesson 03

Divination. Can you predict the future by looking at a single card?

Magical Progress

Question 1/4

Which are solutions to the equation?

Clue

only +7

7, -7

00:30

5,-5

16, -16

Question 2/4

What are the solutions?

Clue

6,-6

11,-11

00:30

12, -12

no real solutions

Question 3/4

What are the solutions?

Clue

8,-8

9, -9

00:30

10, -10

No real solutions

Question 4/4

What are the solutions?

Clue

5,-5

25,-25

00:30

No real solutions

10, -10

Well done!

Lesson learned!

Continue

Bad omen!

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Lesson 04

Enchantments Which of these options is the best choice?

Magical progress

Question 1/4

Does this equation Factor?

Question 2/4

Could you use Completing the Square to solve for x?

Question 3/4

Would you want to use Completing the Square to solve this one OR use the Quadratic Formula?

Question 4/4

What are the solutions to the following?

Manual completed

Congratulations!

Magical progress

Badchoice!

Back

SECRET CODE: 1982

Are you sure you want to exit?

Your progress will be lost and you will not learn witchcraft

Exit

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Become an expertin witchcraft!

To do this, you must complete the wizardry manual by overcoming each of the 4 lessons you will find: · Bewitched Forest· Potions· Divination· Enchantments. Test your magical skills and try not to fail or you will have to retakethe test.