Lesson 29 The Quadratic Formula and Complex Solutions

Lesson 29 The Quadratic Formula and Complex Solutions

​

Open Ended

Fill in the Blank

Write in the form a+bi, where a and b are real numbers, use decimals and write the positive imaginary number first then a comma and a space with the negative imaginary number, ex -8+3i, -8-3i

 $\frac{10\pm\sqrt{-16}}{2}$  

Fill in the Blank

Write in the form a+bi, where a and b are real numbers, use decimals and write the positive imaginary number first then a comma and a space with the negative imaginary number, ex -8+3i,

 -8-3i 

Use decimals as necessary, ex -0.8+3i, -0.8-3i
 $\frac{-3\pm\sqrt{-144}}{6}$  

Open Ended

Multiple Choice

Find the solutions to the quadratic equation.

 $x^2-25=0$  

• 5 only

• -5 only

• 5, -5

• 5i, -5i

Multiple Choice

Find the solution(s) to the equation.

 $x^3=27$  

• 3 only

• -3 only

• 3 and -3

• 3i and -3i

Multiple Choice

Find the solution(s) to the equation.

 $x^2=12$  

•  $\sqrt{12}$  
  

•  $-\sqrt{12}$  
  

•  $\sqrt{12}\ and\ -\sqrt{12}$  
  

•  $\sqrt{12}i\ and\ -\sqrt{12}i$  
  

Open Ended