Consider the following example:

x² < 16

To square root this inequality (There will be 2 answers from the square root),

x < 4
-x < 4

Since -x < 4, x > -4

The final answer will be: -4 < x < 4

I am too poor to afford one, so I used an online version:

http://www.mathsisfun.com/data/function-grapher.php

More regarding graph calculators:

http://www.mathsisfun.com/data/graphs-index.html

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References::
http://www.njmuseum.com/zh/book/zzbj/shanshiniu/36ji.html
http://en.wikipedia.org/wiki/Thirty-Six_Stratagems

I came across this question and I totally forgot how to solve?!

The correct answer is square root 2.

Why is this so?

2 = Sqrt(2) * Sqrt(2)

So if we were to expand the equation, it become:

Sqrt(2) * Sqrt(2)
————————–
        Sqrt(2)

We can cancel away the Sqrt(2) since there are common factors in both the numerator and the denominator. Therefore, the answer is sqrt(2).

The general equation is as follows:

                                         x             Sqrt(x) * Sqrt(x)
x = Sqrt(x) * Sqrt(x). So, ———— = ——————————–
                                      Sqrt(x)           Sqrt(x)

x can be any numbers as long as it’s not zero.

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A video done by some guy @ YouTube:

Not forgetting the “office” he had for Meet-the-People sessions:

I’ll leave the rest for your thoughts.

Finally!

History has been made!

Proud to be an Aljunied resident!

They are the heroes.

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Banzai!~

If you are currently living in Singapore, please consider donating to Singapore Red Cross Society to aid in Relief Efforts to Nippon.

I was reading up on the topic “Functions” and I encountered a question which required me to raise a negative number to a power.

For instance, -4².

So what will it give? -16 or 16 ?

The correct answer is -16.

Why is that so?

First, we will need to see the question and takes into consideration on the Order of Operations.

In the question above, it was asking for -4². Hence, we will take 4 and raised it to the power of 2, -(4²). so the answer is -16.

If the question now is (-4)², then the answer we’ll get is 16. This is because we will take -4 and raised it to the power of 2. Since negative multiply by negative give you a positive, the answer is 16.

Conclusion: It’s very important to group when dealing with negative numbers and even exponents. For this case, it greatly depends on the grouping before you raise the number to a power.