Solving quadratic Equations- Complete the square/ quadratic

Solving quadratic Equations

Complete the square / quadratic Formula

​https://youtu.be/PgBTFFb4h50

Multiple Choice

What is the next step in solving this quadratic equation using completing the square.

 $x^2+14x=32$  

•  $x^2+14x+\left(14^2\right)=32$ 
  

•  $x^2+\left(\frac{14}{2}\right)x=32$  

•  $x^2+\left(14\right)^2x=32$  

•  $x^2+14x=\frac{32}{x}$  

Multiple Choice

What is the next step in solving this quadratic equation using completing the square.

 $x^2+14x=32$  

•  $x^2+14x=32+\frac{14}{2}$ 
  

•  $x^2+14x+196=32+196$  

•  $x^2+14x+196=32$  

•  $x^2+14x+49=32+49$  

Multiple Choice

What is the next step in solving this quadratic equation using completing the square.

 $x^2+14x+49=32+49$  

•  $\left(x^2+7\right)^2=81$ 
  

•  $\left(x+7\right)^2=81$  

•  $\left(x^2+14x+7\right)^2=81$  

•  $\left(x+14\right)^2=81$  

ANSWER KEY

Multiple Choice

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11
• x = 1 and −11
• x = −10 and 11
• x = −5 and 25

Quadratic Formula

The quadratic formula is a powerful tool for finding the roots of any quadratic equation.

Multiple Choice

Identify a, b and c in the quadratic equation: $2x^2-3x-5=0$   

• a = 2 , b = 3, c = -5

• a = 2, b = -3, c = 5

• a = 2, b = -3, c = -5

• a = -2, b = 3, c = 5

Multiple Choice

Solve using the Quadratic Formula:

 $2x^2+7x-15=0$  

•  $x=-1.5,\ 5$  

• No Solution

•  $x=-5,\ 1.5$  

•  $x=0.7,\ 5$  

Multiple Choice

 $x^2+4x+3=0$  

• x = 1 and -3

• x = -1 and -3

• x = -1 and 3

• x = 1 and 3