# Worksheet: Quadratic Equations with Complex Coefficients

Q1:

Given that , where and are real numbers, find all the possible values of and .

• A ,
• B , or ,
• C ,
• D , or ,

Q2:

Determine all the real values of and that satisfy the equation .

• A or
• B or
• C or
• D or

Q3:

Given that is one of the roots of the equation , find the other root and the value of .

• A ,
• B ,
• C ,
• D ,
• E ,

Q4:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q5:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q6:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q7:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q8:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q9:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q10:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q11:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q12:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q13:

Find all possible values of , where , for which .

• A ,
• B6, 2
• C6, 2, ,
• D6, 2, ,
• E ,

Q14:

Find the solution set of in .

• A
• B
• C
• D

Q15:

Given that , find all possible real values of and .

• A
• B
• C
• D
• E

Q16:

Find the solution set of in .

• A
• B
• C
• D