Question 1144836
Let the numbers be:
{{{ x - 5 }}}
{{{ x }}}
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{{{ x^2 + ( x-5 )^2 = 97 }}}
{{{ x^2 + x^2 - 10x + 25 = 97 }}}
{{{ 2x^2 - 10x - 72 = 0 }}}
{{{ x^2 - 5x - 36 = 0 }}}
{{{ ( x - 9 )*( x + 4 ) = 0 }}} ( by looking at it )
{{{ x = 9 }}}
{{{ x - 5 = 4 }}}
( I will use the positive result )
The numbers are 9 and 4
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check:
{{{ x^2 + ( x-5 )^2 = 97 }}}
{{{ 9^2 + ( 9-5 )^2 = 97 }}}
{{{ 81 + 16 = 97 }}}
{{{ 97 = 97 }}}
OK
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The negative answers also work:
{{{ x + 4 = 0 }}}
{{{ x = -4 }}}
and
{{{ x - 5 = -9 }}}
The numbers are -4 and -9
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