Question

Resolva as equações do 2grau x elevado dois =×+12

Answer 1

$x^2=x+12\\x^2-x-12=0$

Coeficientes: a = 1, b = -1 e c = -12

$\Delta=b^2-4ac\\\Delta=(-1)^2-4\cdot1\cdot(-12)\\\Delta=1+48\\\Delta=49$

$x=\dfrac{-b\pm\sqrt{\Delta}}{2a}\\\\x=\dfrac{-(-1)\pm\sqrt{49}}{2\cdot1}\\\\x=\dfrac{1\pm7}{2}\\\\x_1=\dfrac{1+7}{2}=\frac{8}{2}=4\\\\x_2=\dfrac{1-7}{2}=\dfrac{-6}{2}=-3$



Espero ter ajudado.
Bons estudos! :)