Mathematics
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OpenStudy (tiffani):
How do I solve this equation? 25(x+2)^2-2=0
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OpenStudy (anonymous):
get the (x+2)^2 by itself first! :)
OpenStudy (anonymous):
1)Add 2 on both sides
2)Divide by 25 on both sides
OpenStudy (tiffani):
Doing it right now
OpenStudy (tiffani):
(x+2)^2=2/25?
OpenStudy (saifoo.khan):
Take a square root on both sides,
\[(x+2) = \sqrt{ \frac{2}{25}}\]
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OpenStudy (saifoo.khan):
\[x+2 = \frac{\sqrt2}{\sqrt{25}}\]
OpenStudy (saifoo.khan):
\[x+2 = \pm \frac{\sqrt2}{5}\]
OpenStudy (tiffani):
\[x+2=\sqrt{2}/5\]
OpenStudy (saifoo.khan):
dont forget the positive and negative sign.
OpenStudy (tiffani):
oh ya, now how do I get x by itself?
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OpenStudy (saifoo.khan):
use a calc,
\(x = \frac{\sqrt2}{5} - 2\) and \(x = -\frac{\sqrt2}{5} - 2\)
OpenStudy (tiffani):
Thanks
OpenStudy (saifoo.khan):
Welcome.
OpenStudy (tiffani):
would \[-2+-\sqrt{2}/5 \] be the same?
OpenStudy (saifoo.khan):
Nope, we will get 2 different answers.
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OpenStudy (tiffani):
would \[2+-\sqrt{2}/5\]be?
OpenStudy (saifoo.khan):
\[-2+(-\frac{\sqrt2}{5}) = 1.7\]
OpenStudy (saifoo.khan):
And \[+2+\frac{\sqrt2}{5} = 2.28\]
OpenStudy (anonymous):
\[2 \pm \frac{\sqrt{2}}{5} ?\]
OpenStudy (anonymous):
that form?
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OpenStudy (tiffani):
yes:)
OpenStudy (anonymous):
by the way that is -2 not positive 2
OpenStudy (anonymous):
\[-2 \pm \frac{\sqrt{2}}{5}\]
OpenStudy (anonymous):
\[x+2 = \pm \frac{\sqrt{2}}{5}\]
Subtract 2 on both sides
\[x=-2 \pm \frac{\sqrt{2}}{5}\]
OpenStudy (anonymous):
25[x2+4x+4]-2=0
25x2+100x+100-2=0
25x2+100x+98=0
using formula,solve for quadratic equation
though Saifoo's method is better...