Question

3X squared equals 108

Answer 1

Answer:

x=+6

Step-by-step explanation:

First, let's divide both sides of the equation by  

3

:

⇒

3

x

2

3

=

108

3

⇒

x

2

=

36

Then, let's subtract  

36

from both sides:

⇒

x

2

−

36

=

36

−

36

⇒

x

2

−

36

=

0

The left-hand side of the equation is now in the form of a difference of squares.

We can factorise it in the following way:

⇒

(

x

+

6

)

(

x

−

6

)

=

0

Using the null factor law:

∴

x

=

±

6

Therefore, the solutions to the equation are  

x

=

−

6

and  

x

=

6

.