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Subject: Some 6 equations

Posted by: jolana
Date: Nov 30 11

Do any maths operations to solve these equations. (It was sent to me by my math teacher colleague and I´d like to share, it´s fun):

1) 1 1 1 = 6
2) 2 2 2 = 6
3) 3 3 3 = 6
4) 4 4 4 = 6
5) 5 5 5 = 6
6) 6 6 6 = 6
7) 7 7 7 = 6
8) 8 8 8 = 6
9) 9 9 9 = 6
8) 8 8 8 = 6
9) 9 9 9 = 6

17 replies. On page 1 of 1 pages. 1
Jakeroo star


player avatar
2) (2+2)x2 = 6 OR 2+2+2 = 6
3) (3x3)-3 = 6
5) (5/5)+5 = 6
6) (6/6)x6 = 6
7) 7-(7/7) = 6

Okay, I got the easy ones, up to the rest of you math wizzes to get the rest lol




Reply #1. Nov 30 11, 6:47 PM
jolana star


player avatar
Oh, how I hate the changes of my Czech keyboard in the title!
It´s "I´d like to share, it´s fun." It´s the apostrophe that makes the problem. Btw, did you know that we, Easterners, have "y" instead of "z" and vice versa?

Reply #2. Nov 30 11, 6:49 PM
jolana star


player avatar
Jakeroo, almost right, I would say, (2+2)x2 = 8:) Never mind. The second choice is correct:)

Reply #3. Nov 30 11, 6:52 PM
Jakeroo star


player avatar
oops typo: first entry for "2" should read (2x2)+2 not 2x2x2 (duh lol)

Reply #4. Nov 30 11, 6:52 PM
geniusonwheels star
Can we use roots like (third root 8) + (third root 8) + (third root 8) = 6?

Reply #5. Nov 30 11, 6:53 PM
jolana star


player avatar
You can use powers and roots, of course.

Reply #6. Nov 30 11, 6:55 PM
jolana star


player avatar
In the end, I should post the correct answers, I hope to find the signs on my keyboard:)

Reply #7. Nov 30 11, 6:56 PM
toocool4u
9) (9 + 9)/ (root 9)

Reply #8. Nov 30 11, 9:30 PM
toocool4u
4) 4 + 4 - (root 4) = 6

or (root 4) + (root 4) + (root 4) =6

Reply #9. Nov 30 11, 9:33 PM
Juggernaut314 star


player avatar
Well square roots take care of 4 & 9 then:

4^(1/2) + 4^(1/2) + 4^(1/2) = 6
(9 + 9) / (9^(1/2)) = 6

Reply #10. Nov 30 11, 9:34 PM
Juggernaut314 star


player avatar
Thinking about this harder, if I can write in any power I want or any root beyond square root, there are an infinite number of solutions to these.

Reply #11. Nov 30 11, 9:39 PM
Juggernaut314 star


player avatar
A clean one for 1:

(1+1+1)! = 6

Reply #12. Nov 30 11, 9:41 PM
lola0177 star


player avatar
I think any might hold in modular arithmetic

Reply #13. Apr 05 12, 7:06 PM
superfan123 star


player avatar
Here's #9: (9-(?9+?9))!

In other words, take the square root of two 9s to get 9, 3, 3. Add 3+3 to get 6 and subtract 6 from 9 to get 3. Then factorial it.

Reply #14. Oct 16 12, 3:07 PM
superfan123 star


player avatar
Ok, wait, apparently I can't post square roots on the boards, otherwise they turn up as ?s. Below is another version:

(9-(SQ9+SQ9))!=6

SQ means "square root of" in terms of this equation.

Reply #15. Oct 16 12, 3:09 PM
Gil_Galad
Juggernaut had it right. Bringing roots into this is practically cheating.

Reply #16. Oct 17 12, 11:40 PM
superfan123 star


player avatar
I think so too...

Reply #17. Oct 18 12, 1:49 PM


17 replies. On page 1 of 1 pages. 1
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