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WorksheetsSolve by Completing the Square
Total questions: 15
Worksheet time: 15mins
Solve for x.
(x - 7)2 + 4 = 40
x = -1, -13
x = 1, 7
x = -1, -7
x = 1, 13
x = -7, -13
Solve by completing the square:
v2 + 6v − 59 = 0
{-5 + 5√2, -5 - 5√2}
{5 + 5√2, 5 - 5√2}
{-3 + 2√17, -3 - 2√17}
{3 + 2√17, 3 - 2√17}
Solve the following equation by completing the square:
n2 = 18n + 40
{11, -11}
{16, 2}
{20, -2}
{10, -4}
What do you do to the b value to correctly complete the square?
square it
divide it by 2 and square the result
divide it by 2 and take the square root of the result
divide it by 2 only
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
the -4x
the 9
the x2
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
4
2
8
20
Solve by completing the square:
n2 - 2n - 3 = 0
n = 3 and -1
n = 4 and -4
n = 5 and -3
n = 8 and -7
Solve by completing the square:
x2 + 10x = -9
x = 1 and -12
x = -1 and -9
x = 1 and -9
x = 1 and -1
Solve by completing the square:
k2 − 12k + 20 = 0
k = 10 and 2
k = -6 and -6
k = 22 and -10
k = -2 and 6
Complete the Square
x2 + 6x + 5
(x + 3)2 - 4
(x + 6)2 - 4
(x + 3x)2 - 4
(x + 3)2 + 9
Complete the Square
x2 + 10x + ____
x2 + 10x - 100
x2 + 10x + 100
x2 + 10x - 25
x2 + 10x + 25
Complete the square.
x2 + 6x + ____
x2 + 6x + 9
x2 + 6x - 36
x2 + 6x + 36
x2 + 6x - 9
Complete the Square
x2 - 12x
(x + 6)2 + 12
(x - 6)2 - 24
(x - 6)2 - 12
(x - 6)2 - 36
Complete the Square
x2 + 6x + 20
(x + 3x)2 + 11
(x + 3)2 + 11
(x + 6)2 + 11
(x + 3)2 + 29
What should be added to both sides of the following equation to complete the square?
x2 + 12x = 5
12
6
36
5
