Question 189840
Is the equation {{{3*sqrt(w+1)=6}}} ???



{{{3*sqrt(w+1)=6}}} Start with the given equation



{{{sqrt(w+1)=6/3}}} Divide both sides by 3



{{{sqrt(w+1)=2}}} Reduce



{{{w+1=2^2}}} Square both sides



{{{w+1=4}}} Square 2 to get 4



{{{w=4-1}}} Subtract 1 from both sides



{{{w=3}}} Combine like terms



So the solution is {{{w=3}}}




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OR...


Is the equation {{{3*sqrt(w)+1=6}}} ???



{{{3*sqrt(w)+1=6}}} Start with the given equation



{{{3*sqrt(w)=6-1}}} Subtract 1 from both sides



{{{3*sqrt(w)=5}}} Combine like terms



{{{sqrt(w)=5/3}}} Divide both sides by 3



{{{w=(5/3)^2}}} Square both sides



{{{w=25/9}}} Square {{{5/3}}} to get {{{25/9}}}



So the solution is {{{w=25/9}}}