Question 194619
{{{sqrt(3x+1)=5}}} Start with the given equation



{{{3x+1=5^2}}} Square both sides



{{{3x+1=25}}} Square 5 to get 25



{{{3x=25-1}}} Subtract {{{1}}} from both sides.



{{{3x=24}}} Combine like terms on the right side.



{{{x=(24)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=8}}} Reduce.



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Answer:


So the solution is {{{x=8}}}