the sum of the square of two consecutive integers is 41. Find the integers.
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OpenStudy (anonymous):
Consecutive integers means numbers that are next to each other
The consecutive integers of 14 and 15 make 29
Does this make sense? It is the basis of the problem.
OpenStudy (anonymous):
I think it does.
OpenStudy (anonymous):
x^2 + (x+1)^2 = 41
OpenStudy (anonymous):
Because of this, you can estimate what the answer to your question is
Because it is 2 numbers, you can divide 41 by 2
41/2 = 20.5
No you have to pick 2 consecutive numbers that have an average of 20.5
OpenStudy (anonymous):
What integers are inbetween 20.5?
20 and 21
Does that make sense?
20+21 = 41
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OpenStudy (anonymous):
it says the sum of SQUARE of two consecutive numbers
OpenStudy (anonymous):
Oh okay my bad. You just have to do it in reverse then.
20^2 = 400
21^2 = 441
441 - 400 = 41
OpenStudy (anonymous):
okay thank you KirbyLegs! That makes more sense
OpenStudy (anonymous):
Welcome :)
OpenStudy (anonymous):
no @KirbyLegs is wrong
solve this
x^2 + (x+1)^2 = 41
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