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kdarnell08
 3 years ago
solve the square root of 6x+1 = x1
kdarnell08
 3 years ago
solve the square root of 6x+1 = x1

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kdarnell08
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358734970247:dw

CalebBeavers
 3 years ago
Best ResponseYou've already chosen the best response.0Ok so first square both sides to eliminate the square root

kdarnell08
 3 years ago
Best ResponseYou've already chosen the best response.0what do you mean square both sides...

CalebBeavers
 3 years ago
Best ResponseYou've already chosen the best response.0like this \[\large \sqrt{6x+1}^{2}=(x1)^{2}\] on the left hand side the square root and square cancel so youve got \[6x+1=(x1)^{2}\]

CalebBeavers
 3 years ago
Best ResponseYou've already chosen the best response.0Ok so now expand the right side

CalebBeavers
 3 years ago
Best ResponseYou've already chosen the best response.0Whataya have after you expand the right side of the equation?

CalebBeavers
 3 years ago
Best ResponseYou've already chosen the best response.0\[6x+1=(x1)^{2}\] \[6x+1=x^{2}2x+1\] \[x^{2}8x=0\] \[x(x8)=0\] \[x=0 \] and \[x=8\] check for extraneous solutions \[\sqrt{6(0)+1}\neq 01\] \[\sqrt{6(8)+1}=81\] \[\sqrt{49}=7\] so solution is x=8
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