Mathematics
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OpenStudy (anonymous):
Solve 2x2 - 8x = -7.
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OpenStudy (kidrah69):
\[ax^2+bx+c\]
OpenStudy (kidrah69):
Put it in that form first then find A B C values
OpenStudy (anonymous):
A.
\[-2\pm \sqrt{2}\]
B.
\[-2\pm2\sqrt{2}\]
C.
\[\frac{ 2\pm \sqrt{2} }{ 2 }\]
D.
\[2\pm \frac{ \sqrt{2} }{ 2 }\]
OpenStudy (welshfella):
you can use the quadratic formula
x = [-b +/- sqrt(b^2 - 4ac)] / 2a
OpenStudy (anonymous):
A=2, B=-8, and C=7 right? @kidrah69
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OpenStudy (welshfella):
plug values into the above formula
for your equation b = -8, c = 7 and a = 2
OpenStudy (welshfella):
yes
OpenStudy (anonymous):
I got
\[x = \frac{ -8\pm \sqrt{120} }{ 4 }\]
OpenStudy (anonymous):
@welshfella
OpenStudy (anonymous):
but the choices are more simplified
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OpenStudy (welshfella):
-(-8) +/- sqrt(64-4*2*7)
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4
OpenStudy (welshfella):
= 8 +/- sqrt8
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4
OpenStudy (welshfella):
note that sqrt8 = 2sqrt2
OpenStudy (welshfella):
so we get
8 +/- 2 sqrt2
----------
4
OpenStudy (welshfella):
can you simplify that some more?
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OpenStudy (anonymous):
So it's B?
OpenStudy (welshfella):
no
divide 8 by 4 and 2 sqrt2 by 4
OpenStudy (welshfella):
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