Solving Quadratics

Solving Quadratic Equations using QUADRATIC FORMULA

By Angelica Watiwat

Open Ended

What are the methods we used in solving quadratic equations?

Multiple Choice

Choose the correct step of finding the value of x.

• Step 2: Use completing the square method

• Step 1: Write the standard quadratic equation into (x^2+bx=-c)

• Step 3: Use the square root principle method.

• Step 4: Find the value of x

Multiple Choice

Choose the correct step of finding the value of x.

• Step 2: Use completing the square method

• Step 1: Write the standard quadratic equation into (x^2+bx=-c)

• Step 3: Use the square root principle method.

• Step 4: Find the value of x

Multiple Choice

Choose the correct step of finding the value of x.

• Step 2: Use completing the square method

• Step 1: Write the standard quadratic equation into (x^2+bx=-c)

• Step 3: Use the square root principle method.

• Step 4: Find the value of x

Lesson Objectives:

Some text here about the topic of discussion

• Convert quadratic equations to its standard form

• Solve quadratic equations using quadratic formula

• Compare the methods of solving quadratic equations

​Let us fully understand the process of solving quadratic equations.

Multiple Choice

Use quadratic formula to solve: $$x^2+4x+3=0$$  

• $$\left\{1,3\right\}$$  

• $$\left\{-1,-3\right\}$$  

• $$\left\{4,-3\right\}$$  

• $$i\sqrt{3}$$  

Multiple Choice

Use quadratic formula to solve: $$8x^2-4x-18=0$$  

• $$\left\{\frac{1\pm\sqrt{37}}{4}\right\}$$  

• $$\left\{8,4,18\right\}$$  

• $$\left\{\frac{38}{4},-\frac{38}{4}\right\}$$  

• $$i\sqrt{37}$$  

Multiple Choice

Use quadratic formula to solve: $$2x^2-3x-15=5$$  

• $$\left\{3,15\right\}$$  

• all real numbers

• $$\left\{4,-\frac{5}{2}\right\}$$  

• $$\pm3i$$  

Multiple Choice

Use quadratic formula to solve: $$n^2=9n-20$$  

• $$\left\{5,4\right\}$$  

• $$\left\{5,-8\right\}$$  

• $$i$$  

• $$all\ real\ numbers$$  

Multiple Choice

Use quadratic formula to solve: $$x^2-4=0$$  

• $$\pm4$$  

• $$4$$  

• $$\pm2$$  

• $$all\ real\ numbers$$  

Multiple Choice

What is step one in using the quadratic formula to solve a problem?

• Find the discriminant ( $$b^2-4ac$$ )

• Identify A, B, and C

• Simplify the radical ( $$\sqrt{b^2-4ac}$$ )

• Plug A, B, and C into the formula

Multiple Choice

Which of the following is not a method we have used to solve quadratics?

• Factoring

• Quadratic Formula

• Simplifying

• Square roots

• Graphing

Poll

Which of the following methods of solving quadratics do you feel most confident using?

• Factoring

• Graphing

• Completing the Square

• Square Roots

• Quadratic Formula

Poll

On a scale of 1 to 4, describe your understanding of using quadratic formula to solve quadratic equations.

• 1: I still do not get this.

• 2: I am getting better at this.

• 3: I understand this.

• 4: I could teach this to one of my peers.