Solving by Square Root

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

Fill in the Blank

$$2x^2=50$$  

Solve for x, answer with a comma between your answers. x = ___

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

• $$x=\pm8$$  

• $$x=\pm2\sqrt{2}$$  

• $$x=\pm4\sqrt{2}$$