Question 157304
{{{2*sqrt(w+4)=5}}} Start with the given equation



{{{4(w+4)=25}}} Square both sides



{{{4w+16=25}}} Distribute.



{{{4w=25-16}}} Subtract {{{16}}} from both sides.



{{{4w=9}}} Combine like terms on the right side.



{{{w=(9)/(4)}}} Divide both sides by {{{4}}} to isolate {{{w}}}.



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Answer:


So the answer is {{{w=9/4}}} which in decimal form is {{{w=2.25}}}. 




Check:


{{{2*sqrt(w+4)=5}}} Start with the given equation



{{{2*sqrt(9/4+4)=5}}} Plug in {{{w=9/4}}}



{{{2*sqrt(25/4)=5}}} Add



{{{2*(5/2)=5}}} Take the square root



{{{10/2=5}}} Multiply



{{{5=5}}} Reduce. Since the equation is true, this verifies our answer.