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Perfect Squares: 1, 4 ,9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225 ...

?-?=35?

and the sum of a prime number and a square equalling too 35

2007-09-26 10:47:16 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

7 answers

Difference of squares equalling 35:
6² - 1² = 35
or
18² - 17² = 35

Sum of prime number and square equallying 35:
19 + 4² = 35
or
31 + 2² = 35

2007-09-26 10:52:40 · answer #1 · answered by Puzzling 7 · 0 0

36 - 1 = 35. 19 + 16 = 35.

2007-09-26 17:57:11 · answer #2 · answered by Tony 7 · 0 0

The difference between two consecutive squares x, and x+1 is:

(x + 1)² - x² = x² + 2x + 1 - x² = 2x + 1 = x + (x + 1)

2x + 1 = 35
2x = 34
x = 17
x + 1 = 18

The two perfect squares are 17² and 18² which are 289 and 324, respectively.

18² - 17² = 324 - 289 = 35
_____________

The sum of a prime number and square that equal 35 is:

31 + 2² = 31 + 4 = 35
______________

2007-09-26 17:52:57 · answer #3 · answered by Northstar 7 · 0 0

6² - 1² = 35

2007-09-30 14:12:50 · answer #4 · answered by Como 7 · 0 0

17 squared is 289. 18 squared is 324.

324-289=35

so the 2 perfect squares are 17 and 18

Prime number is 31 and 4 which equals 35

2007-09-26 17:53:01 · answer #5 · answered by dbarr96321 2 · 0 0

36-1=35
6 squared - 1 squared = 35
i hope this helps :)

2007-09-26 17:50:48 · answer #6 · answered by NfBBY♥ 3 · 0 0

1 & 35

11 & 25

2007-09-26 17:49:31 · answer #7 · answered by Info_Please 4 · 0 0

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