Question 1140800
{{{ ( x - 3 )^2 - 32 = 0 }}}
{{{ ( x - 3 )^2 = 32 }}}
{{{ ( x - 3 )^2 = 2^5 }}}
Take the square root of both sides
{{{ x - 3 = 2^((5/2)) }}}
{{{ x = 2^(5/2) + 3 }}}
{{{ x = 5.6569 + 3 }}}
{{{ x = 8.6569 }}}
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check:
{{{ ( 8.6569 - 3 )^2 - 32 = 0 }}}
{{{ 5.6569^2 - 32 = 0 }}}
{{{ 32 - 32 = 0 }}}
OK