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Solve Perfect Square Equations
Which is the best method?
Discriminant
Completing the Square
Grab Bag
100

(x+3)2 = 0

What is -3?

100

0 = (x+4)(x-1)

What is the Zero product property?

100
Find the discriminant: x^2 +5x +7
What is -3
100

Fill in the blank: x^2 + 6x + ____

What is 9?

100
The formula for the discriminant.
What is b^2 - 4ac
200

(x-3)2+5= 30

What is -2 and 8?

200

x^2 - 8x + 16 = 25

What is the square root property?

200
Find the discriminant (b^2 - 4ac): 3x^2 -7x - 2
What is 73?
200

Identify the first step to solve by completing the square: 4x^2 + 16x + 20

What is factor out '4'?

200
When graphing, the solutions are these of the graph.
What is the x-intercepts?
300

2x^2 + 6 = 38

What is +/- 4?

300

 x^2 + 4x = 10

What is the complete the square?

300

How many and what kind of solutions does a positive discriminant have?

If it is a perfect square, it has 2 rational solutions, if it is not a perfect square, it has 2 irrational solutions.

300

x^2 + 12x 

What is 36?

300
This is the degree (greatest coefficient) of any quadratic equation. Hint: This is the number of solutions in a quadratic equation.
What is 2?
400

(x-4)^2 -10=15

What is -1 and 9?

400

0 = 2x^2 + 8x - 64

What is the zero product property?

400

How many and what kind of solutions does a negative discriminant have?

What is 2 irrational solutions?

400

2x^2 - 28x  = 0

What is 49?

400
x^2 - 34x + 24 = 0
What is (4/5) and 6?
500

2x2=78


What is +/- 7?

500

y =2x^2 + 3x + 1

What is the quadratic formula?

500

How many and what kind of solutions does a zero discriminant have?

What is one rational solution?

500

5x^2 - 20x 

What is 4?

500
8x^2 - 47x - 63 = 0
What is (-9/8) and 7?