Question 807408
{{{ x^2 - 10x = -24 }}}
{{{ x^2 - 10x + 24 }}}
Use quadratic formula
{{{ x = (-b +- sqrt( b^2 - 4*a*c )) / (2*a) }}}
{{{ a = 1 }}}
{{{ b = -10 }}}
{{{ c = 24 }}}
{{{ x = (-(-10) +- sqrt( (-10)^2 - 4*1*24 )) / (2*1) }}}
{{{ x = ( 10 +- sqrt( 100 - 96 )) / 2 }}}
{{{ x = ( 10 +- sqrt( 4 )) / 2 }}}
{{{ x = ( 10 + 2 ) / 2 }}}
{{{ x = 6 }}}
and, also
{{{ x = ( 10 - 2 ) / 2 }}}
{{{ x = 4 }}}
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check answers:
{{{ 6^2 - 10*6 = -24 }}}
{{{ 36 - 60 = -24 }}}
{{{ -24 = -24 }}}
and
{{{ 4^2 - 10*4 = -24 }}}
{{{ 16 - 40 = -24 }}}
{{{ -24 = -24 }}}
OK