Solving Quadratic Equations

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Questions Responses

Factoring

Square Root Method

Solve any way

Quadratic Formula

Solve the radical

100

Solve by Factoring:

x² - x - 12 = 0

x = -3, 4

100

Solve using the Square Root Method:

4x²=9

x = -3/2, 3/2

100

x²-25=0

x=5, -5

100

Solve using the Quadratic Formula:

3x² - 5x - 2 = 0

x = -1/3, 2

100

Simplify the radical:

square root of 125

5 radical 5

200

Solve by Factoring:

x² + 4x = -3

x = -3, -1

200

Solve using the Square Root Method:

3x²- 75 = 0

x = -5, 5

200

x²-64=0

x=8,-8

200

Solve using the Quadratic Formula:

2x² - 3x = 5

x = -1, 5/2

200

Simplify the radical

Square root of 75

5 radical 3

300

Solve by Factoring:

4x²- 44x + 120 = 0

x = 5, 6

300

Solve using the Square Root Method:

8x² + 72 = 0

x = -3i, 3i

300

x²+6x-27=0

x=-9,3

300

Solve using Quadratic Formula:

6x² - 5x = 4

x = -1/2, 4/3

300

Simplify the radical:

square root 100

10

400

Solve by Factoring:

2x² - 9x - 5 = 0

x = -1/2, 5

400

Solve using the Square Root Method:

(x - 5)² = 9

x = 2, 8

400

x²-8x=0

x=0, 8

400

Solve using Quadratic Formula:

x² - 3x + 1 = 0

x = (3 +/- sqrt[5])/2

400

simplify the radical

Square root 48

4 radical 3

500

Solve by Factoring:

2x² + 19x = -24

x = -8, -3/2

500

Solve using the Square Root Method:

(x + 3)² = 20

x = -3 +/- 2sqrt(5)

500

9x²-49=0

x=-7/3, 7/3

500

Solve using Quadratic Formula:

x² + 5x = -2

x = (-5 +/- sqrt[17])/2

500

simplify the radical

Square root 450

15 radical 2