Quadratic Formula Guided Practice

Which words also mean the same thing as solutions?

• x intercepts

• roots

• zeros

• y intercepts

​Complete the quadratic formula

Black question mark ​ (a)  

Blue question mark ​ (b)  

Red question mark ​ (c)  

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 types of solutions would each expression produce?

• Rational Solutions

• Irrational Solutions

• Complex Solutions

• There is exactly one rational solution

• There is exactly one irrational solution

• There are two irrational solutions

• There are two rational solutions

Mathematical Equivalence

ON

Mathematical Equivalence

ON

The discriminant is

• ax²  + bx  +  c

• b - 4ac

• b² - 4ac

• b² + 4ac

What does the discriminant mean?

• no real solutions

  (complex solutions)

• A positive discriminant means...

• two real solutions

• A negative discriminant means...

• one real solution

• A discriminant of 0 means...

Make a true statement about about Graph A

The discriminant is ​ (a)  

There will be ​ (b)  

• zero
• one real solution
• positive
• negative
• two complex solutions
• two real solutions