Question 156694
{{{sqrt(x+2)+15=11}}} Start with the given equation



{{{sqrt(x+2)=-4}}} Subtract 15 from both sides 



{{{x+2=16}}} Square both sides 



{{{x=14}}} Subtract 2 from both sides 



So the possible solution is {{{x=14}}}. However, we need to verify it.



Check:



{{{sqrt(x+2)+15=11}}} Start with the given equation



{{{sqrt(14+2)+15=11}}} Plug in {{{x=14}}}



{{{sqrt(16)+15=11}}} Add



{{{4+15=11}}} Take the square root of 16 to get 4



{{{19=11}}} Add



Since the equation {{{19=11}}} is <b>NOT</b> true, this means that {{{x=14}}} is not a real solution. 


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Answer:


So there are no solutions.