Question 118072
{{{sqrt(x+4)=3}}} Start with the given equation



{{{x+4=9}}} Square both sides




{{{x=9-4}}}Subtract 4 from both sides



{{{x=5}}} Combine like terms on the right side


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Answer:

So our answer is {{{x=5}}}


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#2




{{{sqrt(4x+1)+3=0}}} Start with the given equation



{{{sqrt(4x+1)=-3}}} Subtract 3 from both sides.



{{{4x+1=9}}} Square both sides




{{{4x=9-1}}}Subtract 1 from both sides



{{{4x=8}}} Combine like terms on the right side



{{{x=(8)/(4)}}} Divide both sides by 4 to isolate x




{{{x=2}}} Divide


So a possible answer is {{{x=2}}}, but we must check our answer.



Check:



{{{sqrt(4x+1)+3=0}}} Start with the given equation




{{{sqrt(4(2)+1)+3=0}}} Plug in x=2



{{{sqrt(8+1)+3=0}}} Multiply



{{{sqrt(9)+3=0}}} Add



{{{3+3=0}}} Take the square root of 9 to get 3



{{{6<>0}}} Add. Since both sides of the equation are <b>not</b> equal, the possible solution x=2 is not valid



So the equation has no solutions