Mathematics
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OpenStudy (anonymous):
Solve for a.
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OpenStudy (anonymous):
\[\sqrt{5a+2}-\sqrt{7a}-8=0\]
OpenStudy (anonymous):
What is the root? If there is no root, choose none.
OpenStudy (anonymous):
answers
-5
5/6
5
none
OpenStudy (amistre64):
if you have answers to choose from, try them out
OpenStudy (anonymous):
i need help with solving it
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OpenStudy (anonymous):
Square both sides of equation
OpenStudy (anonymous):
\[5a+2+7a-2\sqrt{5a+2}\sqrt{7a}=64\]
OpenStudy (anonymous):
rearrange ........
\[(12a-62)^2=4(5a+2)(7a)\]
OpenStudy (anonymous):
ok then one more question what does the root mean
OpenStudy (anonymous):
It means when u put the solution in original equation u mest see that all the roots exist
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OpenStudy (anonymous):
ok and how do i do this
OpenStudy (anonymous):
just put back solution fount from the qaudratic in original eq to see it all square roots are real;
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so then that rules out none
OpenStudy (anonymous):
so that means it has to be..5
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OpenStudy (anonymous):
?
OpenStudy (anonymous):
no 5/6
OpenStudy (eyust707):
Perhaps the simplest way to solve this was with the initial suggestion.. you have answers just try them out..
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
help?
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OpenStudy (eyust707):
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