Solve by Graphing
Solving by factoring
Completing the square
Quadratic formula
Discriminant
100
Graph and find the solution
y= x^2-8x +12
x=2 and x=6
100
Solve this quadratics by factoring.
x2 + 2x = 3
x2 + 2x - 3 = 0
= (x-1)(x+3) = 0
x = 1 or x = 3
100
solve using completing the squares
x^2+2x-3=0
x= 1 and -3
100
What part of the formula is the discriminant
b^2-4ac
100
Find the value of the discriminant
x^2-5x+3=0
13
200
Graph and find the solution
y= 2x^2-3x+7
no solution
200
Solve this quadratic equation by factoring.
X2 + 16 = 10x
x2 - 10x + 16 =0
(x-2)(x-8)
x = 2 or x = 8
200
Solve by completing the squares
x^2 -2x -8 =0
x= 4 and -2
200
Solve using the quadratic formula
x^2-5x-14=0
x=7 and -2
200
x^2+8x-7=0
Find the value of the discriminant
92
300
Graph and find the solution
y= x^2-8x+13
x= 2.3 and 5.7
300
Solve this quadratics equation by factoring.
18x2 - 3x = 6
18x2 - 3x -6 = 0
= 3(6x2 - x - 2) = 0
= 3(3x -2)(2x +1)= 0
= 3x -2 = 0 2x + 1 = 0
x = 2/3 or x -1/2
300
solve by completing the squares
x^2+8x+12=0
x= -2 and -6
300
Solve x2 - 8x + 14 = 0 using the quadratic formula.
x = -(-8) ±√ (-8)2 - 4(1)(14) / 2(1)
= 8 ±√ 8 / 2
= 5.41 and 2.59
300
Find the value of the discriminant. Tell the number and type of solutions.
x^2+2x+8=0
-28
2 complex roots
400
Graph and find the solution
y= -x^2-8x-13
x= -5.7 and -2.3
400
Solve this equation by factoring
x2 + 1 = 26
x2 + 1 = 26
x2 -25 =0
DOS
(x+5)(x-5)=0
x= -5 and 5
400
Solve x2 − 6x − 3 = 0 by completing the square.
x2−6x=3
x2−6x+(−3)2=3+9
(x−3)2=12
x−3=±√12
x= 3± 2 √3
400
Solve x2 + 4x - 21 = 0 by using quadratic formula.
x = 3 or -7
400
Find the value of the discriminant. Tell the number and type of solutions.
2x^2+9x+4=0
49
2 rational roots
500
Graph and find the solution
-x^2+x+1=-x
x= -.4 and 2.4
500
Solve the following quadratic equation by factoring.
9x2 + 10x - 30= 7x
9x2 + 10x - 30= 7x
9x2 + 3x - 30= 0
9x2 + 18x - 15x - 30= 0
9x(x+2) -15(x+2)=0
(9x-15)(x+2)=0
x= 5/3 and -2
500
Solve x2 - 2x + 9 = 0
x2 - 2x = -9
x2 -2x + +1 = -9 +1
(x-1)2 = -8
x -1 = ± √-8
x = 1± 2i√2
500
Solve 2x2 = 7x + 6 by using quadratic formula.
x = -(-7) ±√(-7)2 -4(2)(-6) / 2(2)
x = (7 ±√ 97) / 4
x =4.21 and -.71
500
Find the value of the discriminant. Tell the number and type of solutions.
-3x^2+12x-12
0
1 rational root