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![the cubic formula proof](https://static.wixstatic.com/media/d89612_cffff061389e4c6fad430eef91a4c1cf~mv2.jpg/v1/crop/x_0,y_185,w_500,h_114/fill/w_700,h_159,al_c,lg_1,q_80,enc_avif,quality_auto/d89612_cffff061389e4c6fad430eef91a4c1cf~mv2.jpg)
the cubic formula proof
![](https://static.wixstatic.com/media/d89612_67f6e35612dd4316a4f5320f594d60d9~mv2.png/v1/fill/w_542,h_760,al_c,q_90,enc_avif,quality_auto/d89612_67f6e35612dd4316a4f5320f594d60d9~mv2.png)
![](https://static.wixstatic.com/media/d89612_6a468c11c1bd4cf1b0774ecd059d40b3~mv2.png/v1/crop/x_0,y_0,w_756,h_1060/fill/w_754,h_1057,al_c,q_90,usm_0.66_1.00_0.01,enc_avif,quality_auto/d89612_6a468c11c1bd4cf1b0774ecd059d40b3~mv2.png)
![](https://static.wixstatic.com/media/d89612_2475c25506ce40d8be9e16c46f42362a~mv2.png/v1/crop/x_0,y_1,w_757,h_1085/fill/w_749,h_1074,al_c,q_90,usm_0.66_1.00_0.01,enc_avif,quality_auto/d89612_2475c25506ce40d8be9e16c46f42362a~mv2.png)
![](https://static.wixstatic.com/media/d89612_9a37fc168ff146458ed9e55c430a0cfa~mv2.png/v1/crop/x_0,y_0,w_757,h_893/fill/w_738,h_871,al_c,q_90,usm_0.66_1.00_0.01,enc_avif,quality_auto/d89612_9a37fc168ff146458ed9e55c430a0cfa~mv2.png)
mproof4.png
![](https://static.wixstatic.com/media/d89612_3276e5f25745436e876480a112d917d9~mv2.png/v1/crop/x_3,y_0,w_779,h_845/fill/w_779,h_845,al_c,q_90,enc_avif,quality_auto/d89612_3276e5f25745436e876480a112d917d9~mv2.png)
![](https://static.wixstatic.com/media/d89612_06af26b3a6a44575b9d85df644641e50~mv2.png/v1/crop/x_0,y_1,w_782,h_1186/fill/w_782,h_1186,al_c,q_90,enc_avif,quality_auto/d89612_06af26b3a6a44575b9d85df644641e50~mv2.png)
![](https://static.wixstatic.com/media/d89612_30ee24b3b9e14ab684567b2de2e3a56a~mv2.png/v1/fill/w_782,h_1044,al_c,q_90,enc_avif,quality_auto/d89612_30ee24b3b9e14ab684567b2de2e3a56a~mv2.png)
![](https://static.wixstatic.com/media/d89612_5cb77046b14544b18cd45920c1d22cca~mv2.png/v1/crop/x_0,y_0,w_782,h_1169/fill/w_782,h_1169,al_c,q_90,enc_avif,quality_auto/d89612_5cb77046b14544b18cd45920c1d22cca~mv2.png)
mproof9.png
![](https://static.wixstatic.com/media/d89612_f2c66afd10b843719da2363c4bda4582~mv2.png/v1/fill/w_782,h_1008,al_c,q_90,enc_avif,quality_auto/d89612_f2c66afd10b843719da2363c4bda4582~mv2.png)
![](https://static.wixstatic.com/media/d89612_9576ffdf2cd34a54842ce18745a6856b~mv2.png/v1/crop/x_0,y_0,w_744,h_537/fill/w_744,h_537,al_c,q_90,enc_avif,quality_auto/d89612_9576ffdf2cd34a54842ce18745a6856b~mv2.png)
![](https://static.wixstatic.com/media/d89612_06cd983fb3e94169aa2980cf0115a3b8~mv2_d_1590_1218_s_2.png/v1/crop/x_1,y_0,w_1589,h_1188/fill/w_1201,h_898,al_c,q_90,usm_0.66_1.00_0.01,enc_avif,quality_auto/d89612_06cd983fb3e94169aa2980cf0115a3b8~mv2_d_1590_1218_s_2.png)
![](https://static.wixstatic.com/media/d89612_67f6a6ad5dd44dc8970c3f5cb70038fa~mv2.jpg/v1/fill/w_600,h_450,al_c,q_80,usm_0.66_1.00_0.01,enc_avif,quality_auto/d89612_67f6a6ad5dd44dc8970c3f5cb70038fa~mv2.jpg)
Scott Waldon Hayes
Auburn University BME, MSME
1617 Lee Rd 12 lot 125
Auburn, Alabama 36832
Email: scottwaldonhayes@yahoo.com
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Scott Waldon Hayes
Auburn University BME, MSME
1617 Lee Rd 12 lot 125
Auburn, Alabama 36832
Email: scottwaldonhayes@yahoo.com