Question

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3x² -5x -2=0​

Answer 1

Respuesta:

Explicación paso a paso:

$3x^{2} -5x^{} -2\\(3x^{} +1)(x-2)$

3x+1 = 0

x=-1/3

x-2=0

x=2

Answer 2

SOLUCIÓN

♛ HØlα!! ✌

                                    $Sea\:la\:ecuaci\'on\:cuadr\'atica:\\\\\\ax^2+bx+c=0\\\\\\Por\:f\'ormula\:general\:tenemos\:que:\\\\\\x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\Del\:problema:\\\\\\a=3,b=-5,c=-2\\\\\\ Entonces\:reemplazamos\\\\\\x_{1,2}=\dfrac{-(-5)\pm \sqrt{(-5)^2-[4(3)(-2)]}}{2(3)}\\\\\\x_{1,2}=\dfrac{5\pm \sqrt{25-(-24)}}{6}\\\\\\x_{1,2}=\dfrac{5\pm \sqrt{49}}{6}\\\\\\x_{1,2}=\dfrac{5\pm7}{6}$      

                                $\Rightarrow\:x_{1}=\dfrac{5+7}{6}\\\\\\x_{1}=\dfrac{12}{6}\\\\\\\boxed{\boldymbol{x_{1}=2}}\\\\\\\Rightarrow\:x_{2}=\dfrac{5-7}{6}\\\\\\x_{2}=\dfrac{-2}{6}\\\\\\\boxed{\boldymbol{x_{2}=-0.333333}}$