anonymous
  • anonymous
solve with a quadratic equation. the product of two consecutive odd integers is 2, 115. Find the integers.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
x + x+1= 2,115, solve for x ^_^ consecutive integers are : x, x+1, x+2, x+3 etc
anonymous
  • anonymous
wait, is it x? or x+1 as a starting point lol @_@
amistre64
  • amistre64
ax^2 + bx + c = 2 a(x+2)^2 + b(x+2) + c = 115

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

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