Lesson 30 Real and Non-Real Solutions

Lesson 30 Real and Non-Real Solutions

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Multiple Choice

Use the discriminant of the quadratic formula,

 $b^2-4ac$  , to find the number of solutions to the quadratic equation.
 $-0.5x^2+3x=0$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Use the discriminant of the quadratic formula,

 $b^2-4ac$  , to find the number of solutions to the quadratic equation.
 $x^2-4x+7=0$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Use the discriminant of the quadratic formula,

 $b^2-4ac$  , to find the number of solutions to the quadratic equation.
 $2x^2-2x-1=0$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Use the discriminant of the quadratic formula,

 $b^2-4ac$  , to find the number of solutions to the quadratic equation.
 $-0.5x^2+3x=3$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Use the discriminant of the quadratic formula,

 $b^2-4ac$  , to find the number of solutions to the quadratic equation.
 $x^2-4x+7=5$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Multiple Choice

Use the discriminant of the quadratic formula,

 $b^2-4ac$  , to find the number of solutions to the quadratic equation.
 $2x^2-2x-1=-4$  

• Two Real Solutions

• One Real Solution

• Two Non-Real Solutions

Open Ended

Multiple Choice

 $-2x^2+2x=2.5$  

Find all real and non-real solutions to the quadratic equation.

•  $0.5+i$  

•  $0.5-i$  

•  $0.5+i,\ 0.5-i$  

• 0.5, -0.5

Multiple Choice

 $4.5x^2+3x+\frac{1}{2}=0$  

Find all real and non-real solutions to the quadratic equation.

•  $\frac{1}{3}$  

•  $-\frac{1}{3}$  

•  $\frac{1}{3\ },\ -\frac{1}{3}$  

• 0.5, -0.5

Multiple Choice

 $\frac{1}{2}x^2+5x=-14$  

Find all real and non-real solutions to the quadratic equation.

•  $-5+\sqrt{3}i$  

•  $-5-\sqrt{3}i$  

•  $-5\pm\sqrt{3}i$  

• 5, -5

Open Ended