Most Appropriate Method to Solve Quadratic Equations

What would be the most efficient method to solve the following Quadratic? 81x² - 121 = 0 (Remember: this considers what most people would claim is the fastest and easiest method)

• Difference of Two Squares Factoring

• Quadratic Formula

• Completing the Square

• Factoring by Finding 2 numbers that multiply to "a⋅c" and add to "b", and grouping.

Solve: x² - 25 = 0

• x = 5

• x = -5

• x = 5 and -5

• x = 10

Solve by the Extraction of Roots method: x² = 16

• ± 4

• ± 8

• 4

• 8

Using the square root property, find the roots of the quadratic equation.

• {4}

• {-4, 4}

• {256}

• {-256, 256}

Solve by extracting square roots 3h² - 147= 0.

Choose two values of h.

• h = 12

• h = -12

• h = 7

• h = -7

Taking square roots to solve a quadratic equation is an appropriate method when

• a = 4

• a is negative

• b = 0

• c = 0

• x=6

• x= -6, 6

• x= -4, 4

• x=-2, 2

Solve using the square root method:

x² -4 = 77

• 9

• -9

• No Real Solutions

• ±9