Lesson 28 Completing the Square and Complex Solutions

Lesson 28 Completing the Square and Complex Solutions

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Fill in the Blanks

Find the solution(s) to the quadratic equation. List the answers from least to greatest separated by a comma.  List solutions as decimals.  Ex. -8.2, 10
For complex solutions list the solutions with the positive imaginary value first then the negative imaginary value.

 $x^2+0.5x-14=0$  

Fill in the Blanks

Find the solution(s) to the quadratic equation. List the answers from least to greatest separated by a comma.  List solutions as decimals.  Ex. -8.2, 10
For complex solutions list the solutions with the positive imaginary value first then the negative imaginary value.

 $x^2+12x+36=0$  

Fill in the Blanks

Find the solution(s) to the quadratic equation. List the answers from least to greatest separated by a comma.  List solutions as decimals.  Ex. -8.2, 10
For complex solutions list the solutions with the positive imaginary value first then the negative imaginary value.

 $x^2-3x+8=0$  

Fill in the Blanks

Find the solution(s) to the quadratic equation. List the answers from least to greatest separated by a comma.  List solutions as decimals.  Ex. -8.2, 10
For complex solutions list the solutions with the positive imaginary value first then the negative imaginary value.

 $x^2+4=0$  

Open Ended

Explain why the radical equation has no solutions.

 $\sqrt{3x+2}=-16$  

Multiple Choice

Determine the type of solutions for the equation.

 $x^2-6x+7=0$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Determine the type of solutions for the equation.

 $3x^2+2x+1=0$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Determine the type of solutions for the equation.

 $-x^2-3x+2=0$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Determine the type of solutions for the equation.

 $x^2-6x+7=-2$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Determine the type of solutions for the equation.

 $-x^2-3x+2=6$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Determine the type of solutions for the equation.

 $3x^2+2x+1=2$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Fill in the Blanks

Write ( in the form a+bi, where a and b are real numbers.

 $\left(5-5i\right)^2$  

Fill in the Blanks

Write ( in the form a+bi, where a and b are real numbers.

 $\left(5-5i\right)^4$