zheishitufazhuangkuang，yinweiwodetaibenligenbenmeiyongzheixiangneirong。
erwotaitou，kanzhezhuchirenyeyudemuguang，yijixianchangyipianxusheng，wojiumingbaile。
woyoubeijibanchulaidangdanghongxiaohuadebeijingban。
yinweiwochuandaodezheigehuka，dangniankeshiyinweigaokaoerbaiwushifenshangguoresoude。
wushudemuguanghuizaiwoshenshang，douzaidengzhewochuchou。
jiuzaizheishi，wonaozilituranxiangqiyidaoshengyin。
“zheigebushihenjiandanma？bianhuanyixiajiushi1=(5/3)^x–(4/3)^x，huanyanzhijiushihanshuy=(5/3)^x–(4/3)^x，dangy=1shi，xdezhi。”
“zheigehanshujiushilianggezhishuhanshudechazhi，buyonghuatujiuzhidaolianggezhishuhanshuzhiyouyigejiaodian。”
“……”
wodouwangle，womenchuanjinlaizhiqian，keshizaoshougaokaozhongyaxiadegaozhongsheng。
zheizhongtimu，huoxuduonianhoukanjianhuimeitouyizhou，danxianzaikan，jianzhixiaocaiyidie……
shide，wodaizhewozhenggebanderen，chuanjinlezheigeyulequanxiaohukashenshang。
shentisuiranyouwokongzhi，danwodenaohailinengbuduantingjiantamendeshengyin。
shuxuekedaibiaofayanwan，gaojisuanjijingsaidetongxuejiuchalejinlai。
“qishiyekeyiyongjisuanjidefangfaa——”
“首先粗略绘图：
fun=@(x)3^x+4^x-5^x;
ezplot(fun,【0,3】);
gridon
dedaolingdiandazhizai1.5dao2.5zhijian，yushishezhifslovesuoxuchuzhicanshux0=1.5。
ranhouyongfsolvehanshuqiujie：
x0=1.5;
fun=@(x)3^x+4^x-5^x;
options=optimset('tolfun',1e-6);
x=fsolve(fun,x0,options)
dedaojingduzai1e-6deqingkuangxiaxdejiewei2.000000”
“……”
taliangdawanle，wolvechenyin，zoudaowutaishang。
naqibaibanshangdejihaobi，jiukaishixie。
“yougougudingli3²+4²=5²，suoyi2shifangchengyigejie
jiashecunzaiyigefei2deshishujiexshifangchengchengli
zelianli3^x+4^x=5^xyu3²+4²=5²you
3²×3^(x-2)+4²×4^(x-2)=(3²+4²)×5^(x-2)
yixiangzhengliyou 3²(3^(x-2)-5^(x-2))=4²(5^(x-2)-4^(x-2))
xianran，dangx＜2shi，dengshizuobianweizheng，youbianweifu
dangx＞2shi，dengshizuobianweifu，youbianweizheng
shangshuliangzhongqingkuangjunbunengshidengshichengli
所以x只能为2。”
xiewan，wochaomudengkoudaidezhuchirenyixiao。
“zheigedaankeyima？”
“bukeyidehua，qishiwohaiyoulingwailiangzhongjiefa……”