Question 921698


{{{y^2 - sqrt(8)*y = sqrt(18)*y -1}}}


{{{y^2 - sqrt(8)*y - sqrt(18)*y +1=0}}}


{{{y^2 - (sqrt(8) +sqrt(18))y +1=0}}}


{{{y^2 - (sqrt(8) +sqrt(18))y +1=0}}} ...=>..................{{{sqrt(8) +sqrt(18)= sqrt(4*2) +sqrt(9*2)=2sqrt(2) +3sqrt(2)=5 sqrt(2)}}}



{{{y^2 - 5sqrt(2)y +1=0}}}.......use quadratic formula



{{{x = (-(-5sqrt(2)) +- sqrt( (-5sqrt(2))^2-4*1*1 ))/(2*1) }}} 


{{{x = (5sqrt(2) +- sqrt(25*2)-4 ))/2 }}} 


{{{x = (5sqrt(2) +- sqrt(50-4 ))/2 }}} 


{{{x = (5sqrt(2) +- sqrt(46))/2 }}} 


{{{x = (5sqrt(2) +- 46^(1/2))/2 }}}