Solving Square Root Equations

One Step

100

x^2 = 9

3 and -3

200

x^2 = 49

7 and -7

300

x^2 =144

12 and -12

400

x^2 = 349

What is 18 and -18

500

x^2 = -16

What is No Real Solution

Stopping at 

x = +-sqrt(-16)

2-3 Step

100

x^2 +300 = 349

7 and -7

200

x^2 +3 =67

-8 and 8

300

x^2 -100 =21

11 and -11

400

-6(x^2) = -36

+-sqrt6

500

x^2 ÷ 8 = -8

No real solutions

Stopping at 

x= +-sqrt(-64)

1-Step Parentheses

100

(x - 3 )^2 = 25

What is 8 and -2

200

(x + 4)^ 2 = 100

What is 6 and -14

300

(2x+5)^2 = 169

What is 4 and -9

400

(-3x - 7)^2 = 400

What is -9 and 13/3

500

(-7x - 8)^2 = -169

What is No Real Solution

Stopping at 

-7x - 8 = sqrt(-169)

2-Step Parentheses

100

(x - 1)^2 - 8 = 161

What is 12 and -14

200

(x + 6)^2 + 3 = 903

What is 24 and -36

300

3(2x - 1)^2 = 75

What is 3 and -2

400

-4(x - 1)^2 = 256

What is No Real Solution

Stopping at

+-sqrt(-64)-1

500

2(x + 3)^2 = -256

No real solutions

Stopping at 

+-sqrt(-1024)-3

3-Step Parentheses

100

3(x + 2)^2 - 5 = 7

What is 0 and -4

200

-5(x - 6)^2 - 1 = -501

What is 16 and -4

300

3(2x+5)^2 - 6 = 69

What is 0 and -5

400

4(3x+2)^2 - 16 = 0

What is 0 and -4/3

500

-2(x + 3)^2 - 5 = -5

What is -3