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OpenStudy (anonymous):
\[x^2+18x-208=0\]
OpenStudy (kidrah69):
|dw:1431839727965:dw|
what multiplies to -208 but adds to 18?
OpenStudy (kidrah69):
What are the factors of -208?
OpenStudy (unklerhaukus):
|dw:1431839972920:dw|
OpenStudy (wolf1728):
Have you factored it yet?
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OpenStudy (aaronandyson):
i',M CONFUSED :(
OpenStudy (kidrah69):
Always multiply A and C together
OpenStudy (kidrah69):
in this case its 1 x -208 so it remains the same
OpenStudy (kidrah69):
Do you get that much?
OpenStudy (aaronandyson):
Yes.
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OpenStudy (wolf1728):
It could be 13 * 16
OR any combination of
26 * 8 or
52 * 4
OpenStudy (aaronandyson):
-26 & +8??
OpenStudy (kidrah69):
Which two numbers add up to 18 and multiply to -208?
-8 and 26
Rewrite the expression as (x−8)(x+26)
OpenStudy (kidrah69):
You had the signs flipped
OpenStudy (kidrah69):
Now that we have the two equations you want to set it to 0 because the equation (overall equation) sets it equal to 0 so...
x-8=0
x+26=0
solve.
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OpenStudy (aaronandyson):
8 n 12?
OpenStudy (kidrah69):
what? no lol you are thinking too hard xD just solve the equations SPERATELY
OpenStudy (kidrah69):
x-8=0
isolate x
OpenStudy (aaronandyson):
8 n 12 r da final ans...
OpenStudy (kidrah69):
no they are not...
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OpenStudy (kidrah69):
8 is right
12 is not
OpenStudy (kidrah69):
x+26= 0
isolate x...
OpenStudy (aaronandyson):
12 is right
cuz
18x = y^2
18(8) = y^2
144 = y^2
12 = y
and at back of the book its written 8 n 12 now I can be wrong but not the book I guess :/
OpenStudy (kidrah69):
:/
OpenStudy (kidrah69):
@UnkleRhaukus what am i doing wrong :/
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OpenStudy (aaronandyson):
Wait just to plug 26 in the eqn and see if its equal to 0 :/
OpenStudy (aaronandyson):
Does
(26)^2 + 18(26) - 2208 = 0?
I don't think so
OpenStudy (aaronandyson):
- 208**
My typos X_X
OpenStudy (aaronandyson):
Nevertheless,Thanks for the help.
OpenStudy (kidrah69):
no wait lets foil it to check :P
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OpenStudy (unklerhaukus):
-26
OpenStudy (kidrah69):
^see
OpenStudy (kidrah69):
I dont know why yr book is giving another answer :/
OpenStudy (aaronandyson):
But The BOOK can' t be wrong though the book also says its 8 and 12
OpenStudy (unklerhaukus):
book can totally be wrong
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OpenStudy (aaronandyson):
Actually
The original question is this
the sum of the squares of two positive integers is 208.If the square of the larger number is 18 times the smaller number .Find the numbers.
OpenStudy (kidrah69):
So you wrote everything wrong???
OpenStudy (aaronandyson):
NO
My equation is CORRECT though :/
OpenStudy (kidrah69):
x^2=208
OpenStudy (kidrah69):
:/
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