Question

¿me pueden ayudar a resolverla?

1) 2ײ - 7x +3=0​

Answer 1

SOLUCIÓN

♛ HØlα!!

                               $Sea\:la\:ecuacion\:cuadratica:\\\\ax^2+bx+c=0\\\\Por\:formula\:general\:tenemos\:que:\\\\x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\Entonces\\\\a=2,b=-7,c=3\\\\ Entonces\:reemplazamos\\\\x_{1,2}=\dfrac{-7\pm \sqrt{(-7)^2-[4(2)(3)]}}{2(2)}\\\\x_{1,2}=\dfrac{-7\pm \sqrt{49-(24)}}{4}\\\\x_{1,2}=\dfrac{-7\pm \sqrt{25}}{4}\\\\x_{1,2}=\dfrac{-7\pm5}{4}$

                               $*\:x_{1}=\dfrac{-7+5}{4}\\\\x_{1}=\dfrac{-2}{4}\\\\\boxed{\boldsymbol{x_{1}=-\dfrac{1}{2}}}\\\\\\*\:x_{2}=\dfrac{-7-5}{4}\\\\x_{2}=\dfrac{-12}{4}\\\\\boxed{\boldsymbol{x_{2}=-3}}$