Question 441492
{{{12s^2=45+51s}}}


{{{12s^2-51s-45=0}}}.....use quadratic formula


{{{s = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} .notice that {{{a=12}}}, {{{b=-51}}} and {{{c=-45}}}


{{{s = (-(-51) +- sqrt( (-51)^2-4*12*(-45) ))/(2*12) }}}


{{{s = (51 +- sqrt( 2601+2160 ))/24 }}}


{{{s = (51 +- sqrt( 4761))/24 }}}


{{{s = (51 +- 69)/24 }}}


{{{s1 = (51 + 69)/24 }}}


{{{s1 = 120/24 }}}


{{{s1 = 5 }}}......one root


{{{s2 = (51 - 69)/24 }}}


{{{s2 = -18/24 }}}


{{{s2 =-0.75 }}}......another root