一元三次方程的求根公式及其推导
![](https://wkrtcs.bdimg.com/rtcs/image?w=572&md5sum=112de6ebaa497aa4354fd763b12c8532&sign=ba71aeda36&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=493&ipr={"t":"img","w":"572","h":"100552","c":"8518d8ff5ceb8ecdc24a960069c0acf7.png"})
0时,F(x)有唯一零点⇔F(x)=0\\ 有唯一实数根。\\ 当F(α)•F(β)=\frac{1}{81}(81q^{2}+12p^{3})=0时,F(x)有两个零点⇔F(x)=0\\ 有两个实数根。\\ 当F(α)•F(β)=\frac{1}{81}(81q^{2}+12p^{3})<0时,F(x)有三个零点⇔F(x)=0\\ 有三个实数根。' altImg='8518d8ff5ceb8ecdc24a960069c0acf7.png' w='572' h='100552' class='_1'>
![](https://wkrtcs.bdimg.com/rtcs/image?w=684&md5sum=112de6ebaa497aa4354fd763b12c8532&sign=ba71aeda36&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=493&ipr={"t":"img","w":"684","h":"100967","c":"ad1c0766e43b78f041957bb562502f59.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=716&md5sum=112de6ebaa497aa4354fd763b12c8532&sign=ba71aeda36&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=493&ipr={"t":"img","w":"716","h":"1006","c":"91ae13278a63326c621cad290c820fd8.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=662&md5sum=112de6ebaa497aa4354fd763b12c8532&sign=ba71aeda36&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=493&ipr={"t":"img","w":"662","h":"982","c":"fbd53f045adbe2bc0a934acee84b8fec.png"})
![](https://wkrtcs.bdimg.com/rtcs/image?w=785&md5sum=112de6ebaa497aa4354fd763b12c8532&sign=ba71aeda36&rtcs_flag=1&rtcs_ver=4&l=webapp&bucketNum=493&ipr={"t":"img","w":"785","h":"377","c":"00c0adabf53ec1fe80eb28b78970339e.png"})
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