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Solve the following equation algebraically: 3 x squared = 48

User AvL
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2 Answers

4 votes

Answer:

If squaring a number means multiplying it by itself, according to this rule, you multiply 3 by "x" and then multiply "x" by itself to get 48. In this scenario, you divide 3 by blank squared to get blank. In this case, you set up this problem with division, so we are dividing 3 times blank squared by 3. Whatever the blank value is, we know this equation equals 48, so you must create a mirrored equation of 48 divided by 3. Now that you've divided 48 by 3, that is 16, right? So 16 will be the equivalent of blank squared, or "x" squared. For blank squared, since we are dealing with algebra, the next step is to use square roots using what we know. We know that 16 is composed of 4 squared, right? So turn 4 squared into a radical of √4². This radical is equal to 4, because "radical" = "number" as long as that number is more than or equal to 0. So, in conclusion, x is 4.

Hope this helps!

User Nrussell
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3 votes

Answer:

x=16/squared

Explanation:

divide each term in 3xsquared = 48 by 3squared and simplify.

User Honza Pokorny
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7.0k points