Question 162835
{{{sqrt(3x+4)+ 5 = 9}}} Start with the given equation



{{{sqrt(3x+4) = 9-5}}} Subtract 5 from both sides



{{{sqrt(3x+4) = 4}}} Combine like terms.



{{{3x+4 = 16}}} Square both sides. This will eliminate the square root.



{{{3x=16-4}}} Subtract {{{4}}} from both sides.



{{{3x=12}}} Combine like terms on the right side.



{{{x=(12)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=4}}} Reduce.



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Answer:


So the answer is {{{x=4}}}