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RESOLUCIÓN :
![2x^2-7x+3=0 2x^2-7x+3=0](https://tex.z-dn.net/?f=2x%5E2-7x%2B3%3D0)
![ax^2+bx+c=0 ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
![x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-b%5Cpm+%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![\mathrm{Para\:}\quad a=2,\:b=-7,\:c=3:\quad x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:3}}{2\cdot \:2} \mathrm{Para\:}\quad a=2,\:b=-7,\:c=3:\quad x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:3}}{2\cdot \:2}](https://tex.z-dn.net/?f=%5Cmathrm%7BPara%5C%3A%7D%5Cquad+a%3D2%2C%5C%3Ab%3D-7%2C%5C%3Ac%3D3%3A%5Cquad+x_%7B1%2C%5C%3A2%7D%3D%5Cfrac%7B-%5Cleft%28-7%5Cright%29%5Cpm+%5Csqrt%7B%5Cleft%28-7%5Cright%29%5E2-4%5Ccdot+%5C%3A2%5Ccdot+%5C%3A3%7D%7D%7B2%5Ccdot+%5C%3A2%7D)
![x_{1} =\frac{-\left(-7\right)+\sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:3}}{2\cdot \:2} x_{1} =\frac{-\left(-7\right)+\sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:3}}{2\cdot \:2}](https://tex.z-dn.net/?f=+x_%7B1%7D+%3D%5Cfrac%7B-%5Cleft%28-7%5Cright%29%2B%5Csqrt%7B%5Cleft%28-7%5Cright%29%5E2-4%5Ccdot+%5C%3A2%5Ccdot+%5C%3A3%7D%7D%7B2%5Ccdot+%5C%3A2%7D)
![x_{1} =\frac{7+\sqrt{25}}{4} x_{1} =\frac{7+\sqrt{25}}{4}](https://tex.z-dn.net/?f=++x_%7B1%7D+%3D%5Cfrac%7B7%2B%5Csqrt%7B25%7D%7D%7B4%7D)
![\boxed{ x_{1}=3 }}
\boxed{ x_{1}=3 }}](https://tex.z-dn.net/?f=%5Cboxed%7B+x_%7B1%7D%3D3+%7D%7D%0A)
![x_{2} =\frac{-\left(-7\right)-\sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:3}}{2\cdot \:2} x_{2} =\frac{-\left(-7\right)-\sqrt{\left(-7\right)^2-4\cdot \:2\cdot \:3}}{2\cdot \:2}](https://tex.z-dn.net/?f=+x_%7B2%7D+%3D%5Cfrac%7B-%5Cleft%28-7%5Cright%29-%5Csqrt%7B%5Cleft%28-7%5Cright%29%5E2-4%5Ccdot+%5C%3A2%5Ccdot+%5C%3A3%7D%7D%7B2%5Ccdot+%5C%3A2%7D)
![x_{2} =\frac{7-\sqrt{25}}{4} x_{2} =\frac{7-\sqrt{25}}{4}](https://tex.z-dn.net/?f=+x_%7B2%7D+%3D%5Cfrac%7B7-%5Csqrt%7B25%7D%7D%7B4%7D)
![\boxed{ x_{2}=\frac{1}{2} }}
\boxed{ x_{2}=\frac{1}{2} }}](https://tex.z-dn.net/?f=%5Cboxed%7B+x_%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D+%7D%7D%0A)
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