Complete The Square
Quadratic Formula
The Discriminant
Linear-Quadratic Systems
Final Jeopardy
100
To complete the square, what number will be added to both sides of x2 + 6x = -8?
9
100
What is the quadratic formula?
100
What is the formula for the discriminant?
D=b2-4ac
100
How many solutions does the system have?
x2+x-3=0
x+6=0
2
100
Solve x2-7x+12=0 any method.
3,4
200
The first step to complete the square in x2-6x+5=0 is to
move the 5 to the other side and make it negative
200
Identify A, B and C in x2+6x+5=0
A= 1 B= 6 C=5
200
Use the discriminant to describe the nature of the roots for 5x2+10x+5=0
D=0
1 real
200
How many solutions does the system have?
x2+x-3=0
x-3=0
1
300
Before we complete the square in 2x2-4x+2=90 first we must
reduce (divide by 2)
300
Put A,B and C for x2-9x+20=0 into the quadratic formula (do not solve)
-((-9)+-sqrt((-9)^2-4(1)(20)))/(2(1))
300
Use the discriminant to find the nature of the roots for x2+x-6=0
D=25
2 real
300
How many solutions does the system have?
x2+x-3=0
-x-5=0
0
400
Complete the square:
x2-2x-24=0
(x-1)2=25
400
Solve using the quadratic formula: x2-9x+20=0
-4, -5
400
Use the discriminant to find the nature of the roots for 2x2+5x+7=0
D=-31
2 non-real
400
Solve.
x2+x-3=0
x+6=0
-3 and 3
500
Complete the square to find the vertex: x2+6x-4=0 and does the parabola have a minimum or a maximum?
(x+3)2-40=0 vertex = (-3,-13) minimum at -13
500
Solve using the quadratic formula: 2x2+10x+16=0
(5+isqrt(7))/2, (5-isqrt(7))/2
500
Daily Double.
Which method for solving a quadratic equation ALWAYS works?
500
Solve to the nearest tenth.
x2+x-3=0
2x+2=0
-1.8 and 2.8