Question 175063
{{{A = l*w}}}
{{{A = 1062}}}
{{{l = 3w + 5}}}
{{{1062 = (3w + 5)*w}}}
{{{1062 = 3w^2 + 5w}}}
{{{3w^2 + 5w - 1062 = 0}}}
Use the quadratic formula
{{{w = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{a = 3}}}
{{{b = 5}}}
{{{c = -1062}}}
{{{w = (-5 +- sqrt( 5^2-4*3*(-1062) ))/(2*3) }}}
{{{w = (-5 +- sqrt( 25 + 12744 ))/6 }}}
{{{w = (-5 +- sqrt( 12769 ))/6 }}}
{{{w = (-5 + 113)/6
{{{w = 18}}}
and
{{{w = (-5 - 113)/6}}}
{{{w = -59/3}}} Can't use a negative number
{{{l = 3w + 5}}}
{{{l = 3*18 + 5}}}
{{{l = 59}}}
check:
{{{A = l*w}}}
{{{A = 1062}}}
{{{1062 = 18*59}}}
{{{1062 = 1062}}}
OK