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anonymous
 one year ago
Given the equation Square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution.
anonymous
 one year ago
Given the equation Square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution.

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0\(\sqrt{8x+1}=5\) or \(\sqrt{8x}+1=5\) ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0raise both sides the the second power

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0\(\large\color{red}{ \displaystyle \left(\color{black}{~\sqrt{8x+1}}~\right)^2\color{black}{=} \left(~\color{black}{5}~\right)^2 }\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so im super bad at math so hopefully this wont be wrong dw:1436459928067:dw

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0When you take the square root of a number, and raise it to second power you should get the number itself. Such that ( √D )² = D

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0``` Side Note: I mean normally it is equivalent to D, but don't worry about that, you are just cancelling radicals.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0yes, so go ahed and try again please for me.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0what do you get after raising both sides to the second power?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436460258848:dw

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0you have 25 on the right side, and the left side is correct

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0because 5²=25, you know that right?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0so 8x+1=25 then solve for x....

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436460559771:dw

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0yes, x=3 is correct!

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0now, to see if this solution is extraneous (if it doesn't work in original equation) or if it is not extraneous (if it DOES work in original equaion), YOU HAVE TO plug in x=3 into your original equation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thank you for the help
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