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Mathematics
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OpenStudy (dls):
help solving this quadratic >.>
13 years ago
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OpenStudy (hba):
Sure.
13 years ago
OpenStudy (dls):
\[\LARGE \sqrt{\frac{\lambda}{2} + \frac{1-\lambda }{2}+5}=5\]
13 years ago
OpenStudy (hba):
1) squaring both sides
13 years ago
hartnn (hartnn):
lamda/2 gets cancelled :P
no lamda in the equation
no solution
13 years ago
hartnn (hartnn):
because sqrt{1/2+5} can never =5
13 years ago
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OpenStudy (hba):
Yeah lol :P
13 years ago
OpenStudy (dls):
dahell
13 years ago
OpenStudy (dls):
oh sorry guys :P
13 years ago
OpenStudy (dls):
\[\LARGE \sqrt{\frac{\lambda^2}{2^2} + \frac{(1-\lambda )^2}{2^2}+5}=5\]
13 years ago
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hartnn (hartnn):
lol
13 years ago
OpenStudy (dls):
@hartnn @hba
13 years ago
OpenStudy (hba):
1) squaring both sides
13 years ago
OpenStudy (dls):
\[\LARGE \frac{\lambda^2}{4}+\frac{1}{4}+\frac{\lambda^2}{4}-2 \frac{1-\lambda}{2} -5=25\]
13 years ago
OpenStudy (hba):
Now take lcm
13 years ago
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OpenStudy (dls):
\[\LARGE \frac{\lambda}{2}+\lambda-6+\frac{1}{4}=25\]
13 years ago
OpenStudy (jiteshmeghwal9):
\[\Huge{\sqrt{\frac{\lambda}{2}+\frac{1-\lambda}{2}+5}=5}\]\[\Huge{\sqrt{\frac{\lambda +1- \lambda}{2}+5}=5}\]\[\Huge{\sqrt{\frac{1}{2}+5}=5}\]\[\Huge{\sqrt{\frac{11}{2}}=5}\]By squaring both sides\[\Huge{\frac{11}{2}\ne25}\]Hence, no solution.
13 years ago
OpenStudy (dls):
\[2\frac{\Lambda}{4}+4\lambda/4-\frac{125}{4}=0\]
13 years ago
OpenStudy (anonymous):
|dw:1357195665965:dw|
13 years ago
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