Find 'c' and Rewrite as a Perfect Square
Solve by Completing The Square
Quadratic Formula
Discriminant
Potpourri
100
Find the value of c that completes the square
x2+22x+c
c = 121
100
Solve x2-8x+9 = 0 by completing the square
4+sqrt(7), 4-sqrt(7)
100
Solve 5x2-12x-10 = 0 using the quadratic formula
frac(6+sqrt(86))5, frac(6-sqrt(86))5
100
A quadratic equation has a discriminant for 15. How many solutions does the equation have?
2 real solutions
100
A quadratic equation has a discriminant of 0. How many solutions does the equation have?
1 Solution
200
Find the value of c that completes the square
x2-28x+c
c = 196
200
Solve r2-16r+28 = 0 by completing the square
r = 14
r = 2
200
Solve 3x2+8x-12 = 0 using the quadratic formula
frac(-4+2sqrt(13))3,frac(-4-2sqrt(13))3
200
Would the discriminant of the equation represented by the graph be positive, negative, or zero?
Negative
200
Would the discriminant of the equation represented by the graph be positive, negative, or zero?
Positive
300
Find the value of c that completes the square. Then rewrite the trinomial as a square of a binomial.
x2+14x+c
c = 49
(x+7)2
300
Solve b2+12b-94 = 0 by completing the square
-6+sqrt(130), -6-sqrt(130)
300
Solve 3x2+5x+2 = 0 using the quadratic formula
x = -2/3
x = -1
300
Find the discriminant of the quadratic equation and state how many solutions it has:
-3x2+3x-2=0
Discriminant = -15
No Real Solutions
300
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400
Find the value of c that completes the square. Then rewrite the trinomial as a square of a binomial.
x2-2x+c
c = 1
(x-1)2
400
Solve x2+4x-58 = 9 by completing the square
-2+sqrt(71), -2-sqrt(71)
400
Solve 10x2+8x-15 = -11 using the quadratic formula
frac(-2+sqrt(14))5,frac(-2-sqrt(14))5
400
Find the discriminant of the quadratic equation and state how many solutions it has:
-6x2-5x+6=0
Discriminant = 145
2 Real Solutions
400
We've learned 5 different methods for solving quadratic equations. Name 4 out of the 5 methods we have used to solve quadratic equations.
1. Graphing
2. Square Root
3. Factoring
4. Completing the Square
5. Quadratic Formula
500
Find the value of c that completes the square. Then rewrite the trinomial as a square of a binomial.
x2+9x+c
c = 81/4
(x+9/2)2
500
Solve x2-12x+18 = -2 by completing the square
x = 10
x = 2
500
Solve 3x2+11x-152 = -8 using the quadratic formula
x=5 1/3
x=-9
500
Find the discriminant of the quadratic equation and state how many solutions it has:
2x2+4x-1=-3
Discriminant = 0
1 Real Solution
500
Use whatever method you prefer to find the x-intercepts of the equation
y = x2+9x+20
(-4,0)
(-5,0)