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Stella G.

asked • 02/11/18

find two consecutive integers such that the sum of their squares is 145

i have a test tmr and cannot figure this problem out to save my life. ive looked at it and have tried to figure out #s that square and equal 145 but i honestly have no idea. HELP!!!

2 Answers By Expert Tutors


Scott S. answered • 02/11/18

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Scott S.

The guessing approach may work faster in this particular case. I will just square two consecutive numbers to see what I get. Lets take 4 and 5. 42 + 5= 16 + 25 = 41. This is too low. Lets try two bigger numbers like 9 and 10. 9+ 102 - 190. This is too big but we can keep narrowing down until we try 8 and 9. But this won't necessarily give you the other set of answers like above.


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