Solving multi-step problems using quadratic equations in one variable

Which of the following is the complex conjugate for -5-19i

• -5-19i

• -5+19i

• -5+19i

• 5+19i

Use the quadratic formula to solve:

 $-3x^2+4x-2=-4x+5$  

•  $x=-\frac{4}{3}+\frac{\sqrt{5}}{3}i,\ \ x=-\frac{4}{3}-\frac{\sqrt{5}}{3}i$  

•  $x=\frac{4}{3}+\frac{\sqrt{5}}{3}i,\ \ x=\frac{4}{3}-\frac{\sqrt{5}}{3}i$  

•  $x=-2,\ \ x=5$  

•  $x=\frac{4}{3}+\frac{\sqrt{5}}{3},\ \ x=\frac{4}{3}-\frac{\sqrt{5}}{3}$  

How many solutions will the function have?
x² + 6x + 10 = 0

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

 $\left(x-5\right)^2=-1$  Match to its solutions

•  $5$ 

•  $4,\ 6$  

•  $5+i,\ 5-i$  

Solve each equation using the quadratic formula:

 $5x^2+5x+1=2x+3$  

•  $x=\frac{2}{5},x=-1$  

•  $x=\frac{-7\pm i\sqrt{31}}{10}$  

•  $x=-\frac{2}{5},x=1$  

•  $x=\frac{7\pm i\sqrt{31}}{10}$  

⅖(x + 3)² + 8 = -32

• x = 3 ± 10i

• x = ±13i

• x = -3 ± 10i

• x = ±i√10

Solve.

3x² = -60

• $x=\pm2i\sqrt{5}$

• $x=\pm2\sqrt{5}$

• $x=\pm\sqrt{20}$

• $x=2\sqrt{5}$

Solve by the Quadratic Formula:

 $9u^2-11u+7=0$  

•  $\frac{-11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm i\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm i\sqrt{373}}{18}$