Question 982192
{{{ x^4 + y^4 = ( x^2 - y^2 )^2 + 2x^2*y^2 }}}
{{{ ( ( x - y )*( x + y ) )^2 + 2x^2 *y^2 }}}
{{{ ( 2*sqrt(3)*4 )^2 + 2*x*y*x*y }}}
{{{ ( 8*sqrt(3) )^2 + 2*( 4-3 )*( 4-3 ) }}}
{{{ 64*3 + 2 = 194 }}}
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check answer:
{{{ x = 2 + sqrt(3) }}}
{{{ x = 2 + 1.732 }}}
{{{ x = 3.732 }}}
and
{{{ y = 2 - sqrt(3) }}}
{{{ y = 2 - 1.732 }}}
{{{ y = .2679 }}}
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{{{ x^4 = 3.732^4 }}}
{{{ x^4 = 193.984 }}}
and
{{{ y^4 = .2679^4 }}}
{{{ y^4 = .005151 }}}
{{{ x^4 + y^4 = 193.984 + .005151 }}}
{{{ x^4 + y^4 = 193.989 }}}
I think error is due to rounding off