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Solve Quadratic Equations using Square Roots

Total questions: 10

Worksheet time: 2hrs 16mins

Name
Class
Date
1.

Solve: k2 - 6 = -50

a)

k = ±4i√11

b)

k = ±4√11

c)

k = ±2i√11

d)

k = ±2√11

2.

Solve: (x + 6)2 = 1

a)

-5, -7

b)

5, 7

c)

5, -7

d)

-5, 7

3.

Solve: 2(x - 3)2 - 14 = 18

a)

1, 7

b)

-1, 7

c)

-1, -7

d)

1, -7

4.
Solve for y. 
3y2 - 4 = 287
a)
y = √97
b)
y = 97, -97
c)
y = √97, -√97
d)
y = √94.3, -√94.3
5.

Solve: 3x2 = -12

a)

x = -4, 4

b)

x = 2, -2

c)

x = 2i, -2i

d)

x = 4i, -4i

6.

Solve: 2(w + 1)2 = 72

a)

w = 6, -6

b)

w = 5, -7

c)

w = 5, -5

d)

w = 5

7.
Solve x2− 4 = 0
a)
 2 and -2
b)
4 and -4
c)
16 and -16
d)
8 and -8
8.
Solve for x: 
(x+6)2=49
a)
x=7,12
b)
x=±7
c)
x=1,-13
d)
x=43,-55
9.

Solve: 2x2= 30

a)

x= √5

b)

x= √30

c)

x= √15

d)

x= ±5

10.
What are the solutions to 2(x−7)= 32 ?
a)
7±√32
b)
±√65
c)
3 and 11
d)
-1 and 15