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!

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[edited by: emassa at 2:37 PM (GMT -5) on 20 Feb 2023]

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SemitronJoachimBaumm
on Feb 20, 2023 1:11 PM
a=5 b=4

5²=25 4²=16 25-16=9

in a rectangular triangle with hypotenuse = 5 and opposite side = 4 the adjacent side =3
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KCC

on Feb 27, 2023 6:01 AM in reply to SemitronJoachimBaumm
Thanks Joachim for your prompt reply! You are right with a=5, b=4 for the first equation (a²-b²=9). But they are not OK for the second equation a*b=3 since 4*5= 20 !

May be you want to retry?
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KCC

on Feb 27, 2023 6:01 AM in reply to SemitronJoachimBaumm
Thanks Joachim for your prompt reply! You are right with a=5, b=4 for the first equation (a²-b²=9). But they are not OK for the second equation a*b=3 since 4*5= 20 !

May be you want to retry?
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