Question 1067653
Let {{{ n }}} = the number of seats in each row
{{{ n - 7 }}} = the number of rows
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{{{ n*( n - 7 ) = 2744 }}}
{{{ n^2 - 7n - 2744 = 0 }}}
{{{ n = ( -b +- sqrt( b^2 - 4*a*c )) / (2*a) }}}
{{{ a = 1 }}}
{{{ b = -7 }}}
{{{ c = -2744 }}}
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{{{ n = ( -(-7) +- sqrt( (-7)^2 - 4*1*(-2744) )) / (2*1) }}}
{{{ n = ( 7 +- sqrt( 49 + 10976 )) / 2 }}}
{{{ n = ( 7 +- sqrt( 11025 )) / 2 }}}
{{{ n = ( 7 + 105 ) / 2 }}}
{{{ n = 112/2 }}}
{{{ n = 56 }}}
There are 56 seats in each row
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check:
{{{ n*( n - 7 ) = 2744 }}}
{{{ 56*( 56 - 7 ) = 2744 }}}
{{{ 56*49 = 2744 }}}
{{{ 2744 = 2744 }}}
OK