80/cos(2*arctg(1.25/x))+x=90

问题描述:

80/cos(2*arctg(1.25/x))+x=90
80/cos[2*arctg(1.25/x)]+x=90

设arctg(1.25/x)=t,tgt=1.25/x
cos2t=(1-1.25/x平方)/(1+1.25/x平方)
80(1+1.25/x平方)/(1-1.25/x平方)+x=90
解之得