Solving Quadratics with Complex Solutions

Solve By Factoring: 

 $x^2-4x-5=0$  

• 5, -1

• 1, -5

• -5, -1

• 1, 5

Solve By Factoring:

 $m^2-2m=0$  

• 2

• 0, -2 

• 2, 0

• -2

Solve By Factoring:

 $2n^2-9n+9=0$  

• -6, -3

•  $6,\ 3$  

•  $\frac{-3}{2},\ 3$  

•  $\frac{3}{2},\ 3$  

Solve By Square Roots:



 $5m^2-3=127$  

•  $\sqrt{26}$  

• 26

•  $\pm\sqrt{26}$  

•  $\pm26$  

Solve By Square Roots:

 $49x^2+3=7$  

•  $\pm\frac{2}{7}$  

•  $\pm\frac{7}{2}$  

•  $\pm\frac{1}{7}$  

•  $\pm\frac{4}{49}$  

Solve By Square Roots:

 $5v^2+2=-5$  

•  $\pm\sqrt{\frac{7}{5}}$  

•  $\sqrt{\frac{7}{5}}$  

•  $\pm i\sqrt{\frac{7}{5}}$  

•  $\pm i\sqrt{\frac{3}{5}}$  

Solve By Completing the Square:

 $p^2-10p-52=0$  

•  $5\pm\sqrt{77}$  

•  $-5\pm\sqrt{77}$  

•  $5\pm77$  

•  $5+i\sqrt{77}$  

Solve By Completing the Square:

 $x^2+6x+27=0$  

•  $3\pm\sqrt{18}$  

•  $3\pm i\sqrt{18}$  

•  $-3\pm i\sqrt{18}$  

•  $-3\pm\sqrt{18}$  

Solve by the Quadratic Formula:

 $9u^2-11u+7=0$  

•  $\frac{-11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{-18}$  

•  $\frac{11\pm i\sqrt{373}}{18}$  

Solve by the Quadratic Formula:

 $-12q^2+3q+7=0$  

•  $\frac{-3\pm\sqrt{345}}{24}$  

•  $\frac{3\pm\sqrt{345}}{-24}$  

•  $\frac{3\pm\sqrt{345}}{24}$  

•  $\frac{3\pm i\sqrt{39}}{24}$