Solving Quadratic Equations

What is this formula?

• This is the standard formula.

• This is the quadratic formula.

• This is the square root formula.

• This is the Pythagorean formula

The quadratic equation can be used to solve quadratic equations that cannot be factored.

• True
• False

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

If b²-4ac is 0, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

If b²-4ac is positive, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

If b²-4ac is negative, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

Determine the values of a, b, and c for the quadratic equation. Be sure to write in standard form first.

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 is the discriminant of $x^2+3x-4=0$   

• 25

• 0

• -25

• -13

How many solutions will the quadratic equation have based on the discriminant?

 $x^2+3x-4=0$ 

• 1 Real Solution

• 2 Real Solutions 

• 1 Imaginary Solution

• 2 Imaginary Solutions

 $5x^2-3x+1=0$  

What is the discriminant of the quadratic equation?

• -29

• -11

• 23

• 29