Solve by Square Roots

Solve by Square Roots

This is the only method that doesn't start with standard form.

• Start by isolating the x²

• Add/Subtract and then multiply/divide

Multiple Choice

Solve for  $x^2$  
 $2x^2-9=17$ 



•  $x^2=26$  

•  $x^2=13$  

•  $x^2=24$  

•  $x^2=11$  

After you solve for x²

• Square root both sides of the equation

• Remember to split into positive and negative

Multiple Choice

Trivia Break: Which of these constellations is not in the Zodiac

• Leo

• Orion

• Gemini

• Aries

Multiple Choice

Solve for x

 $3x^2-8=40$  

•  $x=5,\ x=-5$  

•  $x=4,\ x=-4$  

•  $x=8,\ x=-8$  

•  $x=16,\ x=-16$  

Open Ended

What questions do you have about solving using square roots?

Multiple Choice

 $7x^2+14=7$  

Solve for x

• x = 1, -1

• x = 2, -2

• No Solutions

• x=0

Multiple Choice

Trivia Break: How many light years is it across the Milky Way?

• 1000

• 10,000

• 100,00

• 1,000,000

Poll

How are you feeling about solving using square roots to solve quadratics?

• Totally got it

• I think I have it

• I'm shaky, but getting there

• Terrible

Multiple Choice

 $8-3x^2=-16$  

Solve for x

• No Solutions

•  $x=\pm8$  

•  $x=\pm2\sqrt{2}$  

•  $x=\pm4\sqrt{2}$