Question 1193096

assuming you have

{{{sqrt( x+4) - sqrt (x-1) =1  }}}
 

{{{sqrt( x+4) =sqrt (x-1) +1 }}}  .......square both sides


{{{(sqrt( x+4) )^2=(sqrt (x-1) +1 )^2}}}


 {{{x+4=(sqrt (x-1))^2+2sqrt (x-1) +1 }}}


{{{ x+4=x-1+2sqrt (x-1) +1 }}}


 {{{x+4-x+1-1=2sqrt (x-1)}}}


{{{4=2sqrt (x-1)}}}


{{{sqrt (x-1)=4/2}}}


{{{sqrt (x-1)=2}}}.......square both sides


{{{(sqrt (x-1))^2=2^2}}}


{{{x-1=4}}}


{{{x=5}}}