Question 193166
{{{sqrt(4x-5)=sqrt(x+9)}}} Start with the given equation.



{{{(sqrt(4x-5))^2=(sqrt(x+9))^2}}} Square both sides



{{{4x-5=x+9}}} Square the square roots to eliminate them



{{{4x=x+9+5}}} Add {{{5}}} to both sides.



{{{4x-x=9+5}}} Subtract {{{x}}} from both sides.



{{{3x=9+5}}} Combine like terms on the left side.



{{{3x=14}}} Combine like terms on the right side.



{{{x=(14)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



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Answer:


So the answer is {{{x=14/3}}} which approximates to {{{x=4.667}}}.