①已知16x2-169=0,求x,
②
③(2+1)(22+1)(24+1)(28+1)(216+1)(232+1)+1.
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解:①将方程移项,并化系数为1得:x2=,
解得:x=±;
②原式=4-5--0.2+1
=;
③原式=(2-1)(2+1)(22+1)(24+1)(28+1)(216+1)(232+1)+1,
=(22-1)(22+1)(24+1)(28+1)(216+1)(232+1)+1,
=(24-1)(24+1)(28+1)(216+1)(232+1)+1,
=(232-1)(232+1)+1,
=264-1+1
=264.
解析分析:①将x2当做一个整体,继而进行开平方运算即可得出