SOLUTION: chapter 7 Powers, Roots and Radicals solving radical equations: solve the equation. check for extraneous solutions. {{{-(x-5)^1/4+7/3=2}}} i have done... {{{-(x-5}^

Algebra ->  Rational-functions -> SOLUTION: chapter 7 Powers, Roots and Radicals solving radical equations: solve the equation. check for extraneous solutions. {{{-(x-5)^1/4+7/3=2}}} i have done... {{{-(x-5}^      Log On


   

Question 176556This question is from textbook
: chapter 7 Powers, Roots and Radicals
solving radical equations: solve the equation. check for extraneous solutions.

-%28x-5%29%5E1%2F4%2B7%2F3=2

i have done...
-%28x-5%7D%5E1%2F4%5E4%2F1=2-7%2F3
-%28x-5%29=1%2F3%5E4%2F1 This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
assume you mean:
-%28x-5%29%5E%281%2F4%29+%2B+%287%2F3%29+=+2
-%28x-5%29%5E%281%2F4%29+=+2+-+%287%2F3%29
-%28x-5%29%5E%281%2F4%29+=+%286%2F3%29+-+%287%2F3%29
-%28x-5%29%5E%281%2F4%29+=+-1%2F3
mult both sides by -1
%28x-5%29%5E%281%2F4%29+=++1%2F3
raise both sides^4
x-5 = 1%2F81
x = 51%2F81
:
:
check solution using decimal value for x; 5.0123
-%285.0123-5%29%5E%281%2F4%29+%2B+%287%2F3%29+=+2
-%28.0123%29%5E%281%2F4%29+%2B+%287%2F3%29+=+2
-.3333+%2B+%287%2F3%29+=+2
which is:
-%281%2F3%29+%2B+%287%2F3%29+=+2