Factoring
What are the roots for the following quadratic equation?
(x - 7)(x + 2) = 0
x = 7 x = -2
x2 = -4
x = 2i x = -2i
Solve the following equation by completing the square.
x2 + 4x + 4 = 0
x=-2
b2 - 4ac
Solve using the quadratic formula.
2x2 + 50 = 0
x = plus or minus 5i
Solve the following quadratic equation by factoring.
x2 + 3x + 2 = 0
x = -2 x = -1
x2 + 121 = 0
x = 11i x = -11i
Solve the following equation by completing the square.
x2 - 6x = -5
x= 1 x = 5
Find the value of the discriminant for the quadratic equation.
x2 - 18x + 81 = 0
0
Solve using the quadratic formula.
x2 + 12x = 13
x = -13 x = 1
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
x = 5 x = 1
4x2 + 400 = 0
x = 10i x = -10i
Solve the following quadratic equation by completing the square.
2x2 - 4x - 48 = 0
x = -4 x = 6
Find the value of the discriminant and name the number and type of roots.
5x2 + 4x + 3 = 0
-44, 2 complex roots
Solve using the quadratic formula.
x2 - 10x + 25 = 0
x = 5
Solve the following quadratic equation by factoring.
3x2 - 18x - 81 = 0
x= 9 x = -3
x2 - 9 = -11
x= i square root 2 x = -i square root 2
2x2 - 8x = -10
x = 2 plus or minus i
Find the discriminant and name the number and type of roots.
5x2 - 25x = 50
1,625, 2 irrational roots
Solve using the quadratic formula.
x2 - 2x + 9 = 0
x = 1 plus or minus 2i root 2
Solve the following quadratic equation by factoring.
2x2 - 5x - 3 = 0
x = -1/2 x = 3
5x2 + 3 = -117
x = 2i square root 6 x = -2i square root 6
x2 + 9x + 16 = 0
x = -9/2 plus or minus square root 17 over 2
Find the value of the discriminant and name the number and type of roots.
4x2 - 17x - 15 = 0
529, 2 rational roots
Solve using the quadratic formula.
5x2 - 20x - 225 = 0
x = -5 x = 9