Solving Quadratic Equations Using Quadratic Formula

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Solve the following for x by using the Quadratic Formula

2x²+6x=7

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Solve the following quadratic equation (round your answer to 2 decimal places)....

x² + 11x + 4 = 0

• x = -0.38

  x = -10.62

• x = -0.38

  x = -8.62

• x = -1.38

  x = -10.62

• x = -1.38

  x = -8.62

Solve the following quadratic equation (round your answer to 2 decimal places)....

x² - 2x - 6 = 0

• x = 3.65

  x = -1.65

• x = 4.65

  x = -1.65

• x = 3.65

  x = -0.65

• x = 4.65

  x = -0.65

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

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• 
• 

If there are no real solutions, the discriminant is

• zero

• a postive number

• a negative number

• a perfect square

Solve by ANY method you have learned: x²−2x+11=0

• 1±i√10

• 1±√10

• -1±i√10

• -1±√10

If the discriminant equals 0, then the quadratic has:

• 1 Rational Solution

• 2 Rational Solutions

• No solutions

• 2 Complex Solutions

If the discriminant is positive but NOT a perfect square, then the quadratic has:

• 1 Rational Solution

• 2 Irrational Solutions

• 2 Rational Solutions

• 2 Complex Solutions