Solving Quadratic Equations by Extracting the Square Roots

How many solutions are obtained by solving quadratic equations through extracting square roots?

• 1

• 2

• 3

• 4

Which of the following equations are solvable by extracting square roots?

• x² - 3 = 0

• (2x - 1)² - 4 = 2

• 5 + x = x²

• x - 6x = 0

Which of the following are the solutions of 3y² = 75?

• ± 5

• 5

• ±5√3

• - 5√3

What is the best way to start solving the equation  $2y^2\ =\ 288$  ?

• Extract the square roots of both sides

• Rewrite the equation in standard form

• Divide both sides by 2

• Divide both sides by 288

Which of the following is true about the solutions of 
 $4r^2\ +\ 16\ =\ 0$  ?

• There is only one solution.

• The solutions are imaginary numbers.

• The solutions are 2 and –2.

• The solutions are identical or repeated.

Find the solution of  $z^2\ -\ 16\ =\ 0$ . 

•  $\pm4$  

• 4

•  $\pm8$  

• 8

What are the solutions of $\left(x\ -\ 5\right)^2\ =\ 16$  ?

• -1, 9

• -1, -9

• 1, -9

• 1, 9