Question

Resuelve esta ecuación
6x²-5x+2=0

Answer 1

SOLUCIÓN

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                   $Sea\:la\:ecuaci\'on\:cuadr\'atica:\\\\ax^2+bx+c=0\\\\\\Por\:f\'ormula\:general\:tenemos\:que:\\\\\mathrm{\boxed{x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}}\\\\\\Del\:problema:\\\\a=6,b=-5,c=2\\\\\\ Entonces\:reemplazamos\\\\x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x_{1,2}=\dfrac{-(-5)\pm \sqrt{(-5)^2-[4(6)(2)]}}{2(6)}\\\\\\x_{1,2}=\dfrac{5\pm \sqrt{25-(48)}}{12}\\\\\\x_{1,2}=\dfrac{5\pm \sqrt{-23}}{12}\\\\\\x_{1,2}=\dfrac{5\pm0}{12}$

                  $\Rightarrow\:x_{1}=\dfrac{5+0}{12}\\\\\\x_{1}=\dfrac{5}{12}\\\\\\\boxed{\boldsymbol{x_{1}=0.416667}}\\\\\\\Rightarrow\:x_{2}=\dfrac{5-0}{12}\\\\\\x_{2}=\dfrac{5}{12}\\\\\\\boxed{\boldsymbol{x_{2}=0.416667}}$

Answer 2

Respuesta:

           

Explicación paso a paso: