What?

Algebra Level 1

Let x |x| be the answer to this question. Find the value of 1 x \frac 1x .


The answer is 1.

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2 solutions

敬全 钟
Apr 30, 2014

This question is pretty interesting. We need to find the value of 1 x \frac{1}{x} , so by logical interpretation, 1 x \frac{1}{x} is the answer to this question, so as x |x| . Therefore, we can say that

x = 1 x x x = 1 |x|=\frac{1}{x}\implies |x|\cdot x =1

So, the only solution to this equation is 1.

Same Here!, bye the way can we be friends!

Arya Samanta - 7 years, 1 month ago

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I'll be your friend. :D

Finn Hulse - 7 years, 1 month ago

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Yeah Sure! so did you try [Speed or Velocity]

Arya Samanta - 7 years, 1 month ago

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@Arya Samanta how awkward they didn't answer

Oximas omar - 1 month ago

but how ? can anyone elaborate

mridul jain - 6 years, 11 months ago

It's good to be friends

Kevin Dheer - 6 years, 10 months ago

I didn't understand it :(

Aennen Ortiz - 4 years, 9 months ago
Kevin Dheer
Jul 19, 2014

According to the question, x=1/x , x^2=1, root of 1=1 which is the correct answer!!!!!!!!

They are all correct technically because they all equal 1. If x=1, and the expression is saying x=1/x, then what it is really saying is 1=1/1 which is a true statement. Also, if x=1, then x^2=1 is the same as 1^2=1 and that is also a true statement, and because 1^2 is the same as 1×1, the square root of 1 would also be 1, making them all correct.

Kyle Edwards - 3 years ago

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