Algebra 2: Section 1-6 Discriminant and Quadratic Formula

Solve using the Quadratic Formula.  $x^2+5x-104=0$  

•  $\left\{-8,13\right\}$  

•  $\left\{-13,8\right\}$  

•  $\left\{9,14\right\}$  

•  $\left\{-9,14\right\}$ 

Determine the values of a, b, and c for the quadratic equation: $4x^2-8x=3$  .

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

If the discriminant is zero you will have

• no real solutions
• two real solutions
• 1 real solution
• 1 imaginary solution

Tags

CCSS.HSA-REI.B.4B

The discriminant is

• $ax^2+bx+c$
  

• $b-4ac$

• $b^2-4ac$

• $b^2+4ac$
  

If the discriminant is positive, then the solution will be

• one real solution
• two real solutions
• no real solutions
• one imaginary solution

Tags

CCSS.HSA-REI.B.4B

If the discriminant is negative, then the solution will be

• one real solution
• two real solutions
• two imaginary solutions
• one imaginary solution

Tags

CCSS.HSA-REI.B.4B

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to solve  $f\left(x\right)=2x^2+2x+12$  .

•  $\left\{-2,3\right\}$  

•  $\left\{2,3\right\}$  
  

•  $\left\{2,-3\right\}$  
  

•  $\left\{-2,-3\right\}$  
  

What are the solutions to $x^2-3x=5$  ?

• 
• 
• 
• 

Use the quadratic formula to find the solutions for
 $y=-x^2-5x+12$  

• No Real Solution

•  $\frac{5\pm\sqrt{73}}{-2}$  

•  $\frac{-5\pm\sqrt{73}}{-2}$  

•  $\frac{5\pm\sqrt{73}}{2}$  

Tags

CCSS.HSA-REI.B.4B