Factoring
Completing the Square
Quadratic Formula
Solving Square Root
Discriminant
Real or Complex Solution
Real or Complex Solution
100
Solve the following quadratic equation by factoring.
x2 - 6x + 5 = 0
{1, 5}
100
Solve the following quadratic equation by completing the square:
0 = x2 + 6x +8
{-4, -2}
100
Write out the quadratic formula.
100
Solve the equation. (x-2)²=16
-2 and 6
100
Without calculating the actual solutions, determine if the solutions are "Real" or "Complex" by calculating the discriminant.
x2 + 7x + 10 = 0
Discriminant = 9
Real solutions
200
Solve the following quadratic equation by factoring.
3x2 - 25x + 28=0
{4/3, 7}
200
Solve the following quadratic equation by completing the square:
x2 - 6x = -5
{1, 5}
200
Solve the following quadratic equation by using the quadratic formula:
x2 + 6x + 5 = 0
x = -1, x = -5
200
Solve the equation. (x-3/2)²=13
3/2 ± √13
200
Without calculating the actual solutions, determine if the solutions are "Real" or "Complex" by calculating the discriminant.
2x2 - 5x + 8 = 0
Discriminant = -39
Complex solutions
300
Solve the following quadratic equation by factoring.
28b2 - 348 =-5
{-7/2, 7/2}
300
Solve the following quadratic equation by completing the square:
x2 - 2x - 24 = 0
{-4, 6}
300
Solve the following quadratic equation by using the quadratic formula. Round your answer to the nearest hundredth:
x2 - 9x + 6 = 0
{0.72, 8.27}
300
solve by using the square root :
4x2+15=-9
x = 1/2 * √6 and -1/2 * √6
300
Without calculating the actual solutions, determine if the solutions are "Real" or "Complex" by calculating the discriminant.
-x2 + 6x = 9
Discriminant = 0
Real solutions
400
Solve the following quadratic equation by factoring.
9x2 + 10x - 30= 7x
{5/3, -2}
400
Solve the following quadratic equation by completing the square.
Round your answers to the nearest hundredth (2 decimals):
x2 + 10x +5 = 0
{-0.53, -9.47}
400
Solve the following quadratic equation by using the quadratic formula:
2x2 + 9x + 4 = 0
{-1/2, -4}
400
Solve the equation. 4(x-1)2=-12
1 ± i√3
400
Without calculating the actual solutions, determine if the solutions are "Real" or "Complex" by calculating the discriminant.
x2 = 8
Discriminant = 32
Real solutions
500
Solve the following quadratic equation by factoring:
10x2 - 32 = 65x + 3
{-1/2, 7}
500
Solve the following quadratic equation by completing the square (nearest tenth - 1 decimal):
x2 - 8x + 13 = 0
x = 5.7, x = 2.3
500
Solve the following quadratic equation by using the quadratic formula (nearest tenth):
4x2 - 17x =-12
{0.9, 3.4}
500
Solve the equation. (x-8)2=-65
8 ± i√65
500
Without calculating the actual solutions, determine if the solutions are "Real" or "Complex" by calculating the discriminant.
2x2 + 4x = -4
Discriminant = -16
Complex solutions