The Quadratic Formula (Real and Complex Solutions)

The Quadratic Formula (Real and Complex Solutions)

​How do I solve quadratic equations using the quadratic formula?

​The quadratic formula is a useful tool for finding solutions, particularly when an equation cannot be factored easily.

​How do I solve quadratic equations using the quadratic formula?

​How do I solve quadratic equations using the quadratic formula?

​How do I solve quadratic equations using the quadratic formula?

Multiple Choice

Solve using the quadratic formula.

$$p^2+4p-5=0$$  

• $$\left\{1,\ -5\right\}$$  

• $$\left\{1\right\}$$  

• $$\left\{5,-2.5\right\}$$  

• $$\left\{1,\ -2.5\right\}$$  

Multiple Choice

Solve using the quadratic formula.

$$r^2-2r+4=0$$  

• $$\left\{1\right\}$$  

• $$\left\{1+i\sqrt[]{3},\ 1-i\sqrt[]{3}\right\}$$  

• $$\left\{1.618,\ -0.618\right\}$$  

• $$\left\{\frac{1+i\sqrt[]{3}}{2},\ \frac{1-i\sqrt[]{3}}{2}\right\}$$  

​Using the discriminant.

​How do I solve quadratic equations using the quadratic formula?

​How many real roots will the quadratic function have?

​How do I solve quadratic equations using the quadratic formula?

​How many real roots will the quadratic function have?

​How do I solve quadratic equations using the quadratic formula?

​How many real roots will the quadratic function have?

​How do I solve quadratic equations using the quadratic formula?

Multiple Choice

How many real roots will the quadratic funtion have?

$$16x^2+8x+1=0$$  

• 0

• 1

• 2

• 3

Multiple Choice

How many real roots will the quadratic funtion have?

$$2x^2-5x+6=0$$  

• 0

• 1

• 2

• 3

Multiple Choice

How many real roots will the quadratic funtion have?

$$x^2+4x-5=0$$  

• 0

• 1

• 2

• 3

​Individual Work/Homework

​Complete the assignment "Quadratic Formula Practice" on Canvas.

​How do I solve quadratic equations using the quadratic formula?