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zlopas [31]
3 years ago
6

Solve this answer 2/3 + 4/6 ​

Mathematics
1 answer:
Colt1911 [192]3 years ago
4 0

Step 1

Now we need to make our denominators match.

6 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.

We now have a new problem, that looks like this:  4/6+4/6

Step 2

Since our denominators match, we can add the numerators.

4 + 4 = 8

That gives us the sum, which is 8/6

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

8/6÷ 2 = 4/3

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 4. So we're done reducing.

There you have it! Here's the final answer to 2/3 + 4/6

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First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now

2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
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At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real. 

Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result. 

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x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
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