Solve by completing the square.
x2 - 4x – 20 = 0

A. x = {-2±6√2}

B. x = {2+6√2}

C. x = {2+2√6}

D. x = {-2±2√6}

Show your work.​

Answers

Answer 1

Step-by-step explanation:

Subtract

20

from both sides of the equation.

x

2

4

x

=

20

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

.

(

b

2

)

2

=

(

2

)

2

Add the term to each side of the equation.

x

2

4

x

+

(

2

)

2

=

20

+

(

2

)

2

Simplify the equation.

Tap for more steps...

x

2

4

x

+

4

=

16

Factor the perfect trinomial square into

(

x

2

)

2

.

(

x

2

)

2

=

16

Solve the equation for

x

.

Tap for more steps...

x

=

2

±

4

i


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