Quizzes A funny algebra puzzle!

A funny algebra puzzle!

KCC

on Feb 20, 2023

a and b are real numbers

We have the following expressions:

a² - b² = 9

a.b = 3

Question: what are the value(s) for a and b ?

Good luck! And try to be among the first ones!

Hide replies until user replies.
[edited by: emassa at 2:37 PM (GMT -5) on 20 Feb 2023]

Tags: algebra puzzle brainstorming enigma AQQ228 KCC KCC's Quizzes Show More

Please share your answer to view other submitted answers

Parents

gpiarino

on Feb 20, 2023 10:16 AM
a=3, b=0
Cancel
Up +1 Down

Reply

Cancel
gpiarino

on Feb 20, 2023 11:36 AM in reply to gpiarino
By substitution, you get y*y-9*y-9=0, with y=a*a. By solving, you get y1=9.9083 and y2=-0.9083.

y2 is not acceptable, then you get a=+/- 3.1477 and b=3/a=+/-0.953
Cancel
Up +1 Down

Reply

Cancel
KCC

on Feb 27, 2023 5:51 AM in reply to gpiarino
Thank you Gaetano! As recommended by our Engineer Zone administrators, the final answers will be confirmed later (just before the new quiz launch; this always in order to not influence or perturb our other participants who are still trying to answer...
Cancel
Up 0 Down

Reply

Cancel

Reply

KCC

on Feb 27, 2023 5:51 AM in reply to gpiarino
Thank you Gaetano! As recommended by our Engineer Zone administrators, the final answers will be confirmed later (just before the new quiz launch; this always in order to not influence or perturb our other participants who are still trying to answer...
Cancel
Up 0 Down

Reply

Cancel

Children

No Data