Solving Quadratic Equation

 $3n^2-8n+3=-4$ 

•  $\frac{8\pm\sqrt{20}}{6}$ 

•  $\frac{4\pm i\sqrt{5}}{3}$ 

•  $\frac{8\pm5i\sqrt{2}}{6}$ 

•  $\frac{4\pm\sqrt{-20}}{3}$ 

 $w^2+7w+4=0$ 

•  $\frac{-7\pm\sqrt{33}}{2}$ 

•  $\frac{-7\pm\sqrt{65}}{2}$ 

•  $\frac{7\pm\sqrt{33}}{2}$ 

•  $\frac{-7\pm3\sqrt{11}}{2}$ 

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

Solve using the Quadratic Formula:

2x² + x - 4 = 0

• x = -¼ and x = -2

• x = 1.19 and x = -1.69

• x = 8 and x = -4

• x = 1.69 and x = 1.20

 $x^2+2x-1=2$ 

• x = -1 and -3

• x = 1 and 3

• x = 1 and -3

• x = -1 and 3

 $2x^2-36=x$ 

•  $x=\frac{-9}{2}and\ 4$ 

•  $x=\frac{9}{2}\ and\ -4$ 

•  $x=4\ and\ -4$ 

• No real solution

 $5n^2=30+5n$ 

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

•  $\left\{3,-2\right\}$ 

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

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

Look at the equation below.

 $x^2+5x+7=0$ 

What are the solutions of the equation? Write your answers in simplest radical form.

•  $\frac{-5\pm\sqrt{3}}{2}$ 

•  $\frac{-5\pm i\sqrt{3}}{2}$ 

•  $\frac{-5\pm\sqrt{53}}{2}$ 

•  $\frac{-5\pm i\sqrt{53}}{2}$ 

Look at the equation below.

 $x^2+5x+7=0$ 

What are the solutions of the equation? Write your answers in simplest radical form.

•  $\frac{-5\pm\sqrt{3}}{2}$ 

•  $\frac{-5\pm i\sqrt{3}}{2}$ 

•  $\frac{-5\pm\sqrt{53}}{2}$ 

•  $\frac{-5\pm i\sqrt{53}}{2}$ 

Solve the following equation. Write your answers in simplest radical form.

 $x^2+10x+35=0$ 

•  $-5\pm2i\sqrt{5}$ 

•  $-5\pm i\sqrt{5}$ 

•  $-5\pm2i\sqrt{10}$ 

•  $-5\pm i\sqrt{10}$