Algebra 2- Quadratic Formula, Discriminant & Complex Numbers

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

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• 
• 

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Factor

• Write down: a = 1, b = 6, c = -13

• Subtract 3 from both sides.

• Add 3 to both sides.

Solve using the quadratic formula...

9x² = 4 + 7x

• 
• 
• 
• No solution

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

If the discriminant equals 0, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• 2 Imaginary Solutions

If the discriminant is positive, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• 2 Imaginary Solution

If the discriminant is negative, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• 2 Imaginary Solutions

What is the missing number in the formula for the quadratic equation,   $2x^2+2x-12=0$  ?
 $x\ =\frac{-2\ \pm\sqrt{\left(\ ?\right)^2-4\left(2\right)\left(-12\right)}}{2\left(2\right)}$  

• 2

• -12

• 4

• -2

What is the missing number in the formula for the quadratic equation,  $5x^2-x\ +7\ =\ 0$  ?
 $x\ =\frac{?\pm\sqrt{\left(\ -1\right)^2-4\left(5\right)\left(7\right)}}{2\left(5\right)}$  

• 7

• 5

• -1

• 1