Solving by factoring
Completing the square
Quadratic formula
Solving by taking square roots
Solve by any method
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 x2 − 8x + 16 = 1 by completing the square.
x= 5 and -3
100
Is this quadratic formula?
Yes
100
Solve this equation by taking square roots.
x2 - 81 = 0
x = 9 and -9
100
v2 +2v-8=0
{2,-4}
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 x2 - 20x +19= 0 by completing the square.
x=1 and 19
200
Solve 6x2 + 12x = 90 using the quadratic formula.
x= -5 and 3
200
Solve this equation by taking square roots.
x2 -121 = 0
x = 11 and -11
200
2n2-n-4=2
{3/2 ,1}
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 x2 + 4x +14 = 0 by completing the square.
x = -8 and 4
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
Solve this equation by taking square roots.
x2 + 1 = 26
x2 = 25
x= 5, -5
300
x2+2x-24=0
{4,-6}
400
Solve this quadratics equation by factoring.
6x2 - x - 2 = 0
x = 2/3 and -1/2
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
Solve this equation by taking square roots.
(x-4)2 - 16 = 0
(x-4)2 = 16
x- 4 =± 4
x = 0 or 8
400
x2-11x+19=-5
{3,8}
500
Solve this quadratics equation by factoring.
2x2 - 8 = 31x - 2x2
x = 8 and -1/4
500
Solve x2 - 6x + 7 = 0
x2 - 6x = -7
x2 -6x + (3)2 = -7 + 9
x2 -6x + 9 = 2
(x-3)2 = 2
x -3 = ± √2
x = 4.42 and 1.59
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
Solve this equation by taking square roots.
(x+7)2 - 11 = 0
(x+7)2 = 11
x + 7 = ±√11
x = -7±√11
500
6n2-18n-18=6
{4,-1}