Which expression is equivalent to 15 n=10 (n+3/n)?
1 answer:
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The quadratic formula is:
and
Let's identify our a, b, and c values:
a: -1
b: 1
c: 12
Plug in the values for a, b, and c into the equation. Let's do the first equation:
Simplify everything in the radical:
Simplify the radical:
Combine like terms:
Simplify:
This is one solution, now, let's solve for the other equation:
Since when simplified, everything is the same except the subtraction sign, we can skip the simplification again and change the sign to subtraction:
Combine like terms:
Simplify:
Your final answers are:
The given expression is 
We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.
Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.
Now let's group terms which have the same variables.
We can see that there are two groups:
Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.
If we put the groups back together into the expression,
We can see that
. So (D) is the answer. Hope this helped.
We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.
Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.
Now let's group terms which have the same variables.
We can see that there are two groups:
Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.
If we put the groups back together into the expression,
We can see that