Mathematics
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OpenStudy (anonymous):
solve with a quadratic equation. the product of two consecutive odd integers is 2, 115. Find the integers.
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OpenStudy (anonymous):
x + x+1= 2,115, solve for x ^_^
consecutive integers are :
x, x+1, x+2, x+3 etc
OpenStudy (anonymous):
wait, is it x? or x+1 as a starting point lol @_@
OpenStudy (amistre64):
ax^2 + bx + c = 2
a(x+2)^2 + b(x+2) + c = 115
OpenStudy (amistre64):
what do the 2 and 115 mean? that (x)(x+2) = 2 and 115?
OpenStudy (anonymous):
im not sure, it just puts 2, 115 :-/
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OpenStudy (amistre64):
or the (2+n)(2+(n+2)) = 115?
OpenStudy (amistre64):
a(2^2) + b(2) + c = 115 is what I think it means
OpenStudy (amistre64):
when x=2; y=115
OpenStudy (amistre64):
just cant seem to make sense of the question.. :)
OpenStudy (anonymous):
ah, well, maybe I'll just wait until monday and ask my teacher about it :P thanks for trying to help tho!
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OpenStudy (amistre64):
youre welcome :) wish I coulda helped out more tho ;)
OpenStudy (anonymous):
i guess it must be product of two odd integers is 115
OpenStudy (amistre64):
just for kicks, let me try this...
(2+n)(2+(n+2)) = 115
(2+n)(4+n) = 115
n^2 +6n +8 = 115
n^2 +6n -107 = 0
n= -6/2 +- sqrt(36 + 428)/2
n = -3 +- sqrt(464)/2 ; but that doesnt pruduce 2 consecutive odd integers for me...
OpenStudy (amistre64):
n(n+2) = 115
n^2 +2n = 115
n^2 +2n -115 = 0
n= -4/2 +- sqrt(4 + 230)/2
n = -2 +- sqrt(234)/2...which isnt 2/2 so that busts as well.....
OpenStudy (anonymous):
yea i tried ...same result
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OpenStudy (anonymous):
there is something missing
OpenStudy (amistre64):
2,115 seems like a pair of coordinates.... but that doesnt make sense to me either...
OpenStudy (amistre64):
does f(2) = 115? and f(-2)=115? but then where doe we get the two consecutive number to play into it?
OpenStudy (amistre64):
if anything the 2 roots would multiply to get a number; but it aint 115..and it aint 2 that I can see
OpenStudy (anonymous):
did u try......product=2115???
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OpenStudy (amistre64):
no, but then again I didnt try product = 47 either :)
OpenStudy (anonymous):
y 47?
OpenStudy (amistre64):
lol..... why 2115?
OpenStudy (anonymous):
like some ppl write 2115 as 2,115 :)
OpenStudy (anonymous):
i wasnt making a fun of u :)
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OpenStudy (amistre64):
ahhhh!! damn yankees lol
OpenStudy (anonymous):
(n-47)(n+45)=0
OpenStudy (anonymous):
awwwwwww
OpenStudy (anonymous):
wrong :(
OpenStudy (amistre64):
(n)(n+2) = 2115
n^2 +2n -2115 = 0
n = -4/2 +- sqrt(4 + 8460)/2
n= -2 +- sqrt(8464)/2....
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OpenStudy (anonymous):
hmmmm
OpenStudy (amistre64):
n = -2 +- 92/2
OpenStudy (amistre64):
its either 2 negs or 2 pos to get 2115 right?
OpenStudy (anonymous):
n^2+2n-2115=0
(n+47)(n-45)=0
OpenStudy (anonymous):
n=47
47+2=49
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OpenStudy (anonymous):
yes right
OpenStudy (amistre64):
47(49)=2303
OpenStudy (anonymous):
yes :(
OpenStudy (amistre64):
its just a broken question ;)
OpenStudy (anonymous):
:D
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OpenStudy (anonymous):
but where is the real prob??when the factorization is correct
OpenStudy (anonymous):
oh 45 and 47 is the right choice
OpenStudy (anonymous):
likewise -45 and -47
OpenStudy (anonymous):
so product =2115 is the actual problem :)
OpenStudy (amistre64):
45 and 47 produce 2115; yes :)
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OpenStudy (anonymous):
m so bad in calculations :P
OpenStudy (anonymous):
so it was just a wrong (,) there :P
OpenStudy (amistre64):
you did good :)
OpenStudy (anonymous):
so starlit u dont need to wait for monday...the solution is there for u
OpenStudy (anonymous):
nooooo, factoriztion was correct,but.........