Respuesta :

caylus
Hello,

[tex]ax^2+bx+c=a(x^2+ \dfrac{b}{a}x+ \dfrac{c}{a} )\\ =a(x^2+2* \dfrac{b}{2a}x +( \dfrac{b}{a} )^2- (\dfrac{b}{a} )^2+\dfrac{c}{a})\\ =a((x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a^2} )\\ =a(x+ \dfrac{b}{2a} )^2- \dfrac{b^2-4ac}{4a} [/tex]
201501765

Answer:

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.

Step-by-step explanation:

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