Solving Quadratic Equations by Taking Square Roots

Solve by taking square roots.
 $x^2=81$  

•  $\left\{40.5\right\}$  

•  $\left\{9\right\}$  

•  $\left\{\pm\ 9\right\}$  

•  $\left\{0,\ 9\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve by taking square roots.
 $x^2-225=0$  

Hint: Isolate $x^2.$   

•  $\left\{\pm\ 14\right\}$  

•  $\left\{15\right\}$  

•  $\left\{\pm\ 15\right\}$  

•  $\left\{112.5\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve by taking square roots.
 $x^2-64=0$  

•  $\left\{\pm\ 32\right\}$  

•  $\left\{\pm\ 16\right\}$  

•  $\left\{\pm\ 8\right\}$  

•  $\left\{\pm\ 4\right\}$  

Tags

CCSS.HSA-REI.B.4B

Find the zero(s) by taking square roots.
 $x^2-7=0$  

•  $\left\{7\right\}$  

•  $\left\{-7\right\}$  

•  $\left\{\pm\ 7\right\}$  

•  $\left\{\pm\sqrt{7}\right\}$  

Tags

CCSS.HSA-REI.B.4B

FInd the solutions(s) by taking square roots.
 $x^2=20$  

•  $\left\{\pm\ 20\right\}$  

•  $\left\{\sqrt{20}\right\}$  

•  $\left\{\pm\ 4.5\right\}$  

•  $\left\{\pm\ 2\sqrt{5}\right\}$  

Tags

CCSS.HSA-REI.B.4B

Find the solution(s) by taking square roots.
 $\left(x+5\right)^2=0$  

•  $\left\{\pm\ 0\right\}$  

•  $\left\{\pm\ \sqrt{5}\right\}$  

•  $\left\{\pm\ 5\right\}$  

•  $\left\{-5\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratic equation:
 $x^2+5x=6$  

•  $x=2\ \ \ \&\ \ \ x=3$  

•  $x\ =-1\ \ \ \&\ \ \ x=6$  

•  $x=1\ \ \ \&\ \ \ x=-6$  

•  $x=-2\ \ \ \&\ \ \ x=-3$  

Tags

CCSS.HSA.REI.B.4

Solve by taking square roots:
a² + 9 = 9

• no solution
• a = 0
• a = 3 or -3
• a = 18

Tags

CCSS.HSA-REI.B.4B

Solve by taking the square root:

4x² = 100

• x = ±10

• x = ±25

• x = ±5

• x = 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve.

5b² - 4 = 41

• b = ±9

• b = ±3

• b = ±8

• No Real Number Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4