Factoring and Solving Quadratics and Quadratic Equations

Complete the quadratic formula

Mathematical Equivalence

ON

Solve by the Square Root method: x² = 16

• ± 4

• ± 8

• 4

• 8

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Solve
a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Convert x²-6x+9 to factored form and identify the solution.

• (x-3)(x-3); x=3

• (x+3)(x+3); x=-3

• (x+4)(x+2); x=-4, -2

• Not factorable

Convert x²-9x+20 to factored form and solve.

• (x-10)(x+2); x=-2, 10

• (x+4)(x+5); x=-5, -4

• (x-4)(x-5); x=4, 5

• Not factorable

Solve      3x² - 192 = 0

• -32 or 32

• No Solution

• -8 or 8

• -64 or 64

Solve the following quadratics equation by completing the square... x² - 6x + 2 = 0

• x = -3 ± √7

• x = 3 ± √7

• x = 7 ± √3

• x = -7 ± √3

Solve the following quadratics equation by completing the square... x² + 2x - 5 = 0

• x = -1 ± √6

• x = 1 ± √6

• x = 6 ± √1

• x = -6 ± √1