Understanding quadratic equations in one variable

How many solutions will the function have?
9x² - 5x + 1 = 0

• Two Solutions
• One Solution
• No Real Solutions
• One Million Solutions!!!

If the discriminant is equal to 0, how many solutions are there?

• No solutions

• 1 Real Solution

• 2 Real Solutions

• 2 Imaginary Solutions

If the discriminant is a positive nonperfect square (example: 17), the solutions to the quadratic equation are

• real, rational and unequal

• real, irrational and unequal

• real, rational and equal

• imaginary

What is the discriminant?

2x²-7x-3=0

If the discriminant is equal to -2, how many solutions are there?

• 2 imaginary solutions

• 1 real solution

• 2 real solutions

• Infinite Solutions

A function has a discriminant of 4.

How many x-intercepts does it have?

• 0

• 1

• 2

• 4

What does the discriminant tell us?

• The maximum or minimum value.

• The y-intercept

• The number of unique solutions.

• The axis of symmetry

• The factorability of a quadratic.

Use the discriminant to determine the number and type of solutions the following quadratic equation has.

5x² − 2x + 3 = 0

• 64

  Two Real Rational Solutions

• -56

  Two Real Irrational Solutions

• -56

  Two Complex Solutions

• 64

  1 Real Rational Solution

If the discriminant is positive, how many solutions and of what type?

• 1 real solution
• 2 real solutions
• 2 imaginary solutions

Use the discriminant to determine the number of solutions for: $2x^2-3x-2=0$  

• 2 real solutions

• 2 complex solutions

• 1 real solution