Math, asked by Anonymous, 11 months ago

$x = x \times \frac{50}{100}$

shadowsabers03: x = 0

Answers

Answered by Aishwarya00001

Please find the answer in the attachment.

Attachments:

shadowsabers03: Hey, the answer is x = 0.

Aishwarya00001: The question is wrong !!

Aishwarya00001: you get 2= 1

shadowsabers03: You got x = x/2. Multiply 2 on both sides and we get 2x = x. Then subtract x from both sides and we get 2x - x = 0, i.e., x = 0. That's all!!!

shadowsabers03: There's no error in the question. How the question will be wrong?!

shadowsabers03: Did the question say that x is only a positive integer, or x is not equal to 0, or any other else?!

shadowsabers03: Nothing said. Here x can be of any value; real and unreal too.

Aishwarya00001: ok

Aishwarya00001: i have edited my answer , thank you

shadowsabers03: You're welcome.

Answered by shadowsabers03

Answer:

x = 0

Step-by-step explanation:

$x=x\times \frac{50}{100} \\ \\ x=x\times \frac{1}{2} \\ \\ x=\frac{x}{2} \\ \\ 2x=x \\ \\ 2x-x=0 \\ \\ x=\bold{0}$

So the answer is 0.

But I've found a trickier thing from this question.

Whenever you're asked to prove trickily that '2 = 1', you can apply this as the following:

$x=x\times \frac{50}{100} \\ \\ x=x\times \frac{1}{2} \\ \\ x=\frac{x}{2} \\ \\ 2x=x \\ \\ \frac{2x}{x}=\frac{x}{x} \\ \\ 2 = 1$

As we found that x = 0, dividing 2x and x each by x is invalid because any number can't be divided by 0.

So here, dividing both sides of 2x = x by x is the contradiction.

Thank you. Have a nice day. :-)

#adithyasajeevan

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$x = x \times \frac{50}{100}$