Question 127510



{{{5x+6/5x=7/5+8/x}}}....multiply both sides by {{{5x}}}

{{{5x*5x+(6/5x)5x = (7/5)5x + (8/x)5x}}}....

{{{25x^2+(6/cross(5x))cross(5x) = (7/cross(5))cross(5)*x + (8/cross(x))5*cross(x)}}}....

{{{25x^2+ 6 = 7x + 8*5}}}....

{{{25x^2 - 7x + 6 -40 = 0}}}....

{{{25x^2 - 7x  -34 = 0}}}....

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 

{{{x = (-(-7) +- sqrt( (-7)^2-4*25*(-34) ))/(2*25) }}} 

{{{x = (7 +- sqrt( 49 + 100*34 ))/50 }}} 

{{{x = (7 +- sqrt( 49 + 3400 ))/50 }}} 

{{{x = (7 +- sqrt(  3449 ))/50 }}} 

{{{x = (7 +- 58.73)/50 }}} 


{{{x1 = (7 + 58.73)/50 }}} 

{{{x1 = ( 65.73)/50 }}} 

{{{x1 = 1.3146}}} 


{{{x1 = (7 - 58.73)/50 }}} 

{{{x1 = ( -51.73)/50 }}} 

{{{x1 = -1.0346}}}