Question 880115
{{{ 2(x-6)^2=24 }}}



{{{ (x-6)^2=24/2 }}}



{{{ (x-6)^2=12 }}}



{{{ x-6=""+-sqrt(12) }}}



{{{ x-6=sqrt(12) }}} or {{{ x-6=-sqrt(12) }}}



{{{ x-6=sqrt(4*3) }}} or {{{ x-6=-sqrt(4*3) }}}



{{{ x-6=sqrt(4)*sqrt(3) }}} or {{{ x-6=-sqrt(4)*sqrt(3) }}}



{{{ x-6=2*sqrt(3) }}} or {{{ x-6=-2*sqrt(3) }}}



{{{ x=6+2*sqrt(3) }}} or {{{ x=6-2*sqrt(3) }}} <--- Exact Solutions



{{{ x= 9.46410161513776}}} or {{{ x=2.53589838486224 }}} Use a calculator for this step.



{{{ x= 9.46}}} or {{{ x=2.54 }}} Rounding to the nearest hundredth



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The two solutions are approximately <font color="red">9.46, 2.54</font>