como resolver 4t(2t - 5) = 3 - 4(2t +3)
Soluções para a tarefa
Respondido por
1
Boa tarde Henrique!
Solução!
![4t(2t-5)=3-4(2t+3)\\\\\\
8t^{2}-20t=3-8t-12 \\\\\\
8t^{2}-20t+8t+12-3=0\\\\\
8t^{2}-12t+9=0](https://tex.z-dn.net/?f=4t%282t-5%29%3D3-4%282t%2B3%29%5C%5C%5C%5C%5C%5C%0A8t%5E%7B2%7D-20t%3D3-8t-12+%5C%5C%5C%5C%5C%5C%0A8t%5E%7B2%7D-20t%2B8t%2B12-3%3D0%5C%5C%5C%5C%5C%0A8t%5E%7B2%7D-12t%2B9%3D0 "4t(2t-5)=3-4(2t+3)\\\\\\
8t^{2}-20t=3-8t-12 \\\\\\
8t^{2}-20t+8t+12-3=0\\\\\
8t^{2}-12t+9=0")
![t= \dfrac{-(-12)\pm \sqrt{(-12)^{2}-4.8.9 } }{2.8} \\\\\\
t= \dfrac{12\pm \sqrt{144-288 } }{16} \\\\\\
t= \dfrac{12\pm \sqrt{-144 } }{16} \\\\\\
t= \dfrac{12\pm i\sqrt{144} }{16} \\\\\\
Raiz~~complexa\\\\\\\
t= \dfrac{12\pm 12i}{16} \\\\\\
t= 4(\dfrac{3\pm 3i}{4}) \\\\\\](https://tex.z-dn.net/?f=t%3D+%5Cdfrac%7B-%28-12%29%5Cpm+%5Csqrt%7B%28-12%29%5E%7B2%7D-4.8.9+%7D+%7D%7B2.8%7D+%5C%5C%5C%5C%5C%5C%0At%3D+%5Cdfrac%7B12%5Cpm+%5Csqrt%7B144-288+%7D+%7D%7B16%7D+%5C%5C%5C%5C%5C%5C%0At%3D+%5Cdfrac%7B12%5Cpm+%5Csqrt%7B-144+%7D+%7D%7B16%7D+%5C%5C%5C%5C%5C%5C%0At%3D+%5Cdfrac%7B12%5Cpm+i%5Csqrt%7B144%7D+%7D%7B16%7D+%5C%5C%5C%5C%5C%5C%0ARaiz%7E%7Ecomplexa%5C%5C%5C%5C%5C%5C%5C%0At%3D+%5Cdfrac%7B12%5Cpm+12i%7D%7B16%7D+%5C%5C%5C%5C%5C%5C%0At%3D+4%28%5Cdfrac%7B3%5Cpm+3i%7D%7B4%7D%29+%5C%5C%5C%5C%5C%5C%0A "t= \dfrac{-(-12)\pm \sqrt{(-12)^{2}-4.8.9 } }{2.8} \\\\\\
t= \dfrac{12\pm \sqrt{144-288 } }{16} \\\\\\
t= \dfrac{12\pm \sqrt{-144 } }{16} \\\\\\
t= \dfrac{12\pm i\sqrt{144} }{16} \\\\\\
Raiz~~complexa\\\\\\\
t= \dfrac{12\pm 12i}{16} \\\\\\
t= 4(\dfrac{3\pm 3i}{4}) \\\\\\")
![t=3\pm 3i\\\\\
t_{1}=3+3i\\\\\\
t_{2}=3-3i\\\\\\\\\\\\\\\\
\boxed{Resposta:S=\{3-3i,3+3i\}}](https://tex.z-dn.net/?f=t%3D3%5Cpm+3i%5C%5C%5C%5C%5C%0At_%7B1%7D%3D3%2B3i%5C%5C%5C%5C%5C%5C%0A+t_%7B2%7D%3D3-3i%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3AS%3D%5C%7B3-3i%2C3%2B3i%5C%7D%7D "t=3\pm 3i\\\\\
t_{1}=3+3i\\\\\\
t_{2}=3-3i\\\\\\\\\\\\\\\\
\boxed{Resposta:S=\{3-3i,3+3i\}}")
Boa tarde!
Bons estudos!
Solução!
Boa tarde!
Bons estudos!
Perguntas interessantes