Question

Quero saber como resolve a conta de 2 grau X quadrado=x+12 qual o resutaldo

Answer 1

$x^2=x+12$

$x^2-x-12=0$

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

$x=\dfrac{-(-1)\pm\sqrt{49}}{2\cdot1}=\dfrac{1\pm7}{2}$

$x'=\dfrac{1+7}{2}=\dfrac{8}{2} \iff \boxed{x'=4}$

$x"=\dfrac{1-7}{2}=\dfrac{-6}{2} \iff \boxed{x"=-3}$

$\text{S}=\{-3,4\}$