Show:
Factoring
Square Root Method
Quadratic Formula
Completing the Square
Find the Discriminant
100

The roots of the quadratic equation 2x2+x-6=0

What is x=-2 or x=3/2? 
100

The solutions of the equation -5x2=-500

What is x=10 or x=-10?
100
To use the quadratic formula, the first step is
What is writing the equation in standard form (setting the equation equal to zero)?
100

The first step to solving the quadratic equations using completing the square

What is to get all the x terms on the left hand side and the constants (numbers) on the right hand side)?

100
The number of solutions of a quadratic equation if the discriminant is 3
What are 2 real roots?
200

The roots of the quadratic equation x2+4x=0

What is x=0 or x=-4?
200

The roots of the equation m2+7=88

What is x=9 or x=-9?
200
The discriminant is
What is the expression b2-4ac?
200

The value added to both sides to complete the square for the equation x2-(7/2)x=-6

What is 49/16?
200

The number and type of solutions of the equation 2x2+16x+33=0

What are two nonreal roots (imaginary roots)?
300
The Zero Product Property states
What is if (a)(b)=0, then a=0 or b=0?
300

The roots of the equation -2+3(x-4)2=13

What is x=4+√5 or x=4-√5?

300

The roots of the equation 2x2-3x-15=5

What is x=4 or x=-5/2?
300

The solutions of the equation x2-12x+11=0

What is x=1 or x=11?

300

The number and type of solutions of the equation 9x2-12x+4=0

What is one real root?
400

The solutions of the quadratic equation 3b3-5b2+2b

What is b=0, b=2/3, or b=1?
400
The Square Root Property states

What is if x2=a, then x=+/- √a?

400

The roots of the equation k2-31-2k=-6-3k2-2k

What is x=5/2 or x=-5/2?
400

The solutions of the equation k2-4k+1=-5

What is x=2 +/- i√2?

400

The number and type of solutions of the equation x2-5x+6=0

What is two real roots?
500

The roots of the quadratic equation 9r2-5r-10

What is unknown because the equation is not factorable?
500

The roots of the equation (5x+1)2-24=-25

What is x=-1/5 +/- (i/5)?
500

The solutions of the equation 8n2+7n-15=-7

What is x=(-7/16) +/- (√305)/16?

500

The roots of the equation 2x2-5x+67=0

What is x= (5 +/- i√511)/4

500
Challenge: The discriminant of a quadratic equation is 45, the roots are (be precise)
What is two irrational roots?