Question
Question: How do you solve \(3{{x}^{2}}=108\)?...
How do you solve 3x2=108?
Explanation
Solution
We will see that the terms on both sides of the equation are divisible by three. We will simplify the equation by dividing both sides by three. Then we will rearrange the equation to make it look like x2−a2=0. After that we can use the identity a2−b2=(a−b)(a+b) to factorize the obtained equation and obtain the possible values of the variable.
Complete answer:
The given equation is 3x2=108. We can see that the left hand side of the equation has 3 as a factor. On the right hand side, we have the number 108. Using the divisibility test for 3, we can see that the number 108 is divisible by 3. Dividing 108 by 3, we get 108÷3=36. Let us divide the given equation by the number 3. So, we have the following,