Question

x² - 4x +4=0 formula general​

Answer 1

SOLUCIÓN

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                        $Sea\:la\:ecuaci\'on\:cuadr\'atica:\\\\ax^2+bx+c=0\\\\\\Por\:f\'ormula\:general\:tenemos\:que:\\\\\mathrm{\boxed{x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}}\\\\\\Del\:problema:\\\\a=1,b=-4,c=4\\\\\\ Entonces\:reemplazamos\\\\x_{1,2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x_{1,2}=\dfrac{-(-4)\pm \sqrt{(-4)^2-[4(1)(4)]}}{2(1)}\\\\\\x_{1,2}=\dfrac{4\pm \sqrt{16-(16)}}{2}\\\\\\x_{1,2}=\dfrac{4\pm \sqrt{0}}{2}\\\\\\x_{1,2}=\dfrac{4\pm0}{2}$

                      $\Rightarrow\:x_{1}=\dfrac{4+0}{2}\\\\\\x_{1}=\dfrac{4}{2}\\\\\\\boxed{\boldsymbol{x_{1}=2}}\\\\\\\Rightarrow\:x_{2}=\dfrac{4-0}{2}\\\\\\x_{2}=\dfrac{4}{2}\\\\\\\boxed{\boldsymbol{x_{2}=2}}$