#please help me solve this question

25 messages · Page 1 of 1 (latest)

coral caveBOT
#
  1. Do not ping the Moderators, unless someone is breaking the rules.
  2. Do not ping the Helper Moderators, unless there is a conflict between helpers.
  3. Do not ping other members randomly for help.
  4. Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
  5. Wait patiently for a helper to come along.
  6. If the Helper has answered your question, remember to thank them with the Mathematics Ranks bot and close the thread with:

+close
Feel free to nominate the person for helper of the week in #helper-nominations
If you're happy with the help you got here, and the server overall, you can contribute financially as well:

bronze igloo
#

Have you tried rationalizing the denominator of the left hand side?

quartz coyote
bronze igloo
inland elbow
#

you should try multiply both the numerator and the denominator to the conjugate of the denominator ( as in like (a+b)(a-b) = a^2 - b^2, so you multiply them with (sqrt(x^2 + 1) + sqrt(x^2 -1)) so the denominator turns into (sqrt(x^2+1))^2 - (sqrt(x^2-1))^2 which simplifies into (x^2+1)-(x^2-1), which is just 2. sorry if writing using keyboards characters is confusing, i can show a paper writen veresion with explaination but i need to check the rules for this server, also eng isnt my language so excuse me for that

bronze igloo
#

As a warning:

#

?tag helping

jaunty trailBOT
#

**When helping people, please do not dump the full solution. **
Remember that these people are trying to learn concepts, and our goal should be to reinforce them. Giving them a solution will not help.

**Instead, give them hints and guide them toward the correct solution. **
You can ask things like "what part did you get stuck on?" or "what have you tried so far?" or give them a small starting hint. This ensures better learning. For more tips, reach out to Schlaumau (@schlaumau).

inland elbow
# bronze igloo As a warning:

yes thank you for reminding me the rules here! i just wanted to specifies exactly on how to do so (rationalizing) incase OP isnt sure on how to do so.

bronze igloo
#

Wait, are you referencing that $\varphi=\frac{1+\sqrt 5}{2}$? In that case, that isn’t the answer. In fact, there are no real solutions.

tiny currentBOT
#

Kocher

1245133657690214403.png
quartz coyote
#

instead of rationalising i used componendo and dividendo first

#

ultimately the answer i got was x²=√5/2

#

however this value of x² didnt satisfy the equation

#

so does this automatically mean that it doesnt have a real solution or do i need to solve further?

bronze igloo
#

Do you have the textbook’s solution (not the answer)?

quartz coyote
#

no there is no solution for the question

#

there's only answer keys

#

but anyways thanks

worn remnant
#

yeah this would be $\pm\frac{i\sqrt[4]{5}}{\sqrt{2}}$

tiny currentBOT
magic sedgeBOT
#

@quartz coyote

:HelpIcon:| Help Reminder

Hello third_tooth, this is a friendly reminder that your help request has been inactive for more than 24 hours. If you no longer need assistance, please consider closing the thread using the +close command. This thread will be automatically closed in 3 days if it remains inactive.