3.1) Solving Quadratic Equations by Taking Square Roots

Solve the equation by taking square roots:

 $x^2\ =\ 64$  

•  $x\ =\ \pm8$  

•  $x\ =\ \pm16$  

•  $x\ =\ \pm4$  

•  $x\ =\ \pm2$  

Solve the equation by taking square roots:

 $x^2-12\ =\ 0$   

•  $x\ =\ \pm2\sqrt{3}$  

•  $x\ =\ \pm6$  

•  $x\ =\ \pm2\sqrt{6}$  

•  $x\ =\ \pm12$  

Find the square of each imaginary number:

 $5i$  

• 5

• -5

• 25

• -25

Find the square of each imaginary number:

 $i\sqrt{11}$  

• 11

• -11

• 121

• -121

Find the square of each imaginary number:

 $\frac{i\sqrt{7}}{3}$  

•  $\frac{49}{3}$  
  

•  $-\frac{7}{3}$  
  

•  $\frac{7}{9}$  

•  $-\frac{7}{9}$  
  

Solve the quadratic equation by taking the square roots. Allow for imaginary solutions.

 $10x^2-15\ =\ 5x^2-40$  

•  $x\ =\ \pm5$  

•  $x\ =\ \pm\sqrt{5}$  

•  $x\ =\ \pm25$  

•  $x\ =\ \pm\frac{5}{25}$  

Solve the quadratic equation by taking the square roots. Allow for imaginary solutions.

 $x^2+9\ =\ 3$   

•  $x\ =\ \pm3$  

•  $x\ =\ \pm i\sqrt{6}$  

•  $x\ =\ \pm9$  

•  $x\ =\ \pm\sqrt{6}$