Solving QE by extracting square roots and factoring

Find the solution(s) of $x^2-4=0$  

• x = 2

• x = 2 or x = -2

• x = 4 or x = -4

• x = 16 or x = -16

Find the solution(s) of $y^2+25=0$  

• y = 5 or y = -5

• y = 25 or y = -25

• y = 5

• No real roots

Find the solution(s) of  $5x^2=45$  

• $x=9$
  

• $x=\pm3$
  

• $x=\pm5$
  

• $x=\pm9$

Which of the following is a quadratic equation?

•  $x\left(x+3\right)=0$ 
  

•  $4\left(x-2\right)=0$ 
  

•  $x\left(x-7\right)^2=0$ 
  

•  $x+8=3x-9$ 

Find the solution(s) of the given quadratic equation $\left(x+3\right)^2=100$  

• $x=\pm10$
  

• $x=7\ \ \ or\ \ \ \ x\ =13$
  

• $x=7\ \ \ \ or\ \ \ \ x\ =-13$
  

• $x=\pm7$

The quadratic equation $x^2-81=0$  can be solved by extracting square roots.

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The quadratic equation $x^2+6x=0$ can be solved by extracting the square roots. 

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Solve: $x^2-9x+20=0$  

• x = 4 or x = 5

• x = -4 or x = -5

• x = 10 or x = 2

• x = -10 or x = 2

 $x^2-49=0$  can be solved both by extracting square roots and by factoring.

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x² + 9 and x² = 9 have the same roots.

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