Quadratic Formula

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

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

• True
• False

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Solve using the quadratic formula...

9x² = 4 + 7x

• 
• 
• 
• No solution

Solutions of a quadratic equation are also called

• roots

• x-intercepts

• zeros

• All of the above

What method would you use to solve $x^2-16=0$   

• Factoring Method

• Completing the Square Method

• Quadratic Formula

• Square Root Method

 $5n^2=30+5n$  

•  $\left\{\frac{3+\sqrt{139}}{10},\frac{3-\sqrt{139}}{10}\right\}$  

•  $\left\{3,-2\right\}$  

•  $\left\{\frac{3+11i}{10},\frac{3-11i}{10}\right\}$  

•  $\left\{\frac{3}{2},-\frac{1}{2}\right\}$  

 $m^2=-10m+15$  

•  $\left\{-5+\sqrt{10},-5-\sqrt{10}\right\}$  

•  $\left\{5+2\sqrt{10},\ 5-2\sqrt{10}\right\}$  

•  $\left\{-5+2\sqrt{10},-5-2\sqrt{10}\right\}$  

•  $\left\{\frac{-10+\sqrt{115}}{2},\frac{-10-\sqrt{115}}{2}\right\}$  

 $7k^2-k=11$  

•  $\left\{\frac{1+\sqrt{78}}{14},\frac{1-\sqrt{78}}{14}\right\}$  

•  $\left\{\frac{1+\sqrt{309}}{14},\frac{1-\sqrt{309}}{14}\right\}$  

•  $\left\{\frac{-1+3\sqrt{5}}{2},\frac{-1-3\sqrt{5}}{2}\right\}$  

•  $\left\{\frac{-1+i\sqrt{307}}{14},\frac{-1-i\sqrt{307}}{14}\right\}$  

 $-8a^2-6a-4=1$  

•  $\left\{\frac{3-i\sqrt{31}}{8},\frac{3+i\sqrt{31}}{8}\right\}$  

•  $\left\{\frac{-1+\sqrt{6}}{3},\frac{-1-\sqrt{6}}{3}\right\}$  

•  $\left\{-3+\sqrt{14},-3-\sqrt{14}\right\}$  

•  $\left\{\frac{-3-i\sqrt{31}}{8},\frac{-3+i\sqrt{31}}{8}\right\}$