Mathematics
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OpenStudy (anonymous):
Solve (w-8)^2-80=0 , where w is a real number.
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OpenStudy (anonymous):
?
OpenStudy (anonymous):
kk I'm working it out for a sec I'll see if I can help okay @mathgirl2012
OpenStudy (anonymous):
thanks ;)
OpenStudy (anonymous):
im sorry but that does not help me! :) @The_Jokers_wife
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geerky42 (geerky42):
Try to expand \((w-8)^2\) then combine like terms. Then try to factor, or apply quadratic formula.
OpenStudy (anonymous):
aww Okay well I don't know it than I'M SOOOOOO SORRY
OpenStudy (anonymous):
is it \[w=\sqrt{80}+8\] ??
OpenStudy (anonymous):
@geerky42
OpenStudy (cwrw238):
w^2 -16w + 64 -80 = 0
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OpenStudy (anonymous):
what??????
OpenStudy (cwrw238):
w^2 - 16w - 16 = 0
OpenStudy (anonymous):
how???????
OpenStudy (cwrw238):
- i did what geerky suggested - expanded the binomial and combined like terms
now you have a quadratic to solve
OpenStudy (anonymous):
im still a little confused????
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OpenStudy (cwrw238):
(x - 8)^2 = (x - 8)(x - 8) = x^2 - 8x - 8x + 64 = x^2 - 16x + 64
OpenStudy (anonymous):
oooohhhhhh
OpenStudy (anonymous):
so the anwser is ^2 - 16w - 16 = 0
OpenStudy (cwrw238):
- replace x with w
OpenStudy (cwrw238):
no that's not the answer
you need to solve for w
to solve this equation you need to use the quadratic formula
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OpenStudy (anonymous):
\[w^2 - 16w - 16= 0\]
\[a= 1, b= -16, c= -16\]
\[x=16\frac{ 16\sqrt{256+64} }{ 2 }\]
\[x=\frac{ 16\pm \sqrt{320} }{ 2 }\]
Is that the anwser @cwrw238
OpenStudy (anonymous):
@cwrw238
OpenStudy (anonymous):
help!!!
OpenStudy (anonymous):
HELP @cwrw238
OpenStudy (anonymous):
PLEASE
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OpenStudy (anonymous):
HELP PLEASE
OpenStudy (cwrw238):
take the standard equation
a^2 + bx + c = 0
x = [ - b +/- sqrt(b^2 - 4ac)] / 2a
OpenStudy (cwrw238):
compare ur equation with the standard equation; a = 1, b = -16 and c = -16
so replace a , b and c with 1,-16 and -16 in the formula and work it out
OpenStudy (anonymous):
I DID
OpenStudy (cwrw238):
i'll start it off for you - nite the + or - I'll do the + one
w = [-(-16) + sqrt( -16^2 - 4 *1*-16)] / 2
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OpenStudy (cwrw238):
* i meant note not nite!!
OpenStudy (cwrw238):
you did - good
OpenStudy (anonymous):
can you tell me if I did it right
OpenStudy (cwrw238):
what answers did you get?
OpenStudy (anonymous):
\[x=\frac{ 16\pm \sqrt{320} }{ 2 }\]
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OpenStudy (anonymous):
\[x=\frac{ 16\pm 8\sqrt{5} }{ 2 }\]
OpenStudy (anonymous):
??????????????
Nnesha (nnesha):
divide by 2
OpenStudy (cwrw238):
following on
w = (16 + sqrt 320) / 2
= (16 + 17.888) / 2 = 16.94
Nnesha (nnesha):
@mathgirl2012 (w-8)^2-80=0 are you doing this one ???
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OpenStudy (cwrw238):
the other root is ( 16 - 17.888) / 2
OpenStudy (anonymous):
YES I AM @Nnesha
OpenStudy (anonymous):
8
Nnesha (nnesha):
divide 16 and 8 by 2
OpenStudy (anonymous):
\[\frac{ 2\pm \sqrt{5} }{ 2}\]
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OpenStudy (cwrw238):
oh - so they want the answer in surd form?
Nnesha (nnesha):
when you divide by 2|dw:1416168114866:dw|
now divide 8 by 2