Non-linear equations (one variable)

What is the discriminant and how many solutions would this quadratic have?

4x² + x - 4 = 0

• -15, No Solutions

• 65, 2 real irrational solutions

• 64, 2 real rational solutions

• -65, no solutions

The discriminant is

• ax²  + bx  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

For the function below, determine if the discriminant is positive, negative, or zero?

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

If the Discriminant is >0 How many real solutions will you have?

• 1

• 2

• 3

• 0

If the discriminant is negative, then the solution will be

• one real solution

• two real solutions

• two complex solutions

• one imaginary solution

Evaluate the discriminant for the equation given below and tell how many solutions each equation has and are the solutions real or imaginary. 

 $y=4x^2-4x+1$  

• 2 complex

• 1 real 

• 2 real

Find the discriminant: D = b² - 4ac

2x² =-5x +1 (Hint: standard form?)

• 17

• 33

• -17

• -33

If a quadratic equation discriminant, b² - 4ac = 0 then that quadratic equation

• Has two distinct real roots.

• Has two equal real roots

• Has no real roots

• None of the above

If the discriminant is negative, then the quadratic equation has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No real solutions / D.N.E. (they are imaginary)

What does it mean if a quadratic equation has complex roots?

• The equation does not have any real solutions.

• The equation has no solutions.

• The equation has one real solution.

• The equation has two real solutions.