Question

o quadrado de um numero natural e igual a o seu dobro somado com 24

Answer 1

$x^2 = 2x + 24 \\ \\ x^2 - 2x - 24 = 0$

$x = \dfrac{-b \pm \sqrt{b^2 -4*a*c}}{2*a}$

a=1,b=−2,c=−24

Δ=b^2−4ac
Δ=(−2)2−4*(1)*(−24)
Δ=4+96
Δ=100

$x = \dfrac{-b \pm \sqrt{\triangle}}{2*a} \\ \\ \\ x = \dfrac{-(-2) \pm \sqrt{100}}{2*1} \\ \\ \\ x = \dfrac{2 \pm 10}{2} \\ \\ \\ x' = \dfrac{2 + 10}{2} \\ \\ \\ x' = \dfrac{12}{2} \\ \\ \\ x' = 6 \\ \\ \\ x'' = \dfrac{2 - 10}{2} \\ \\ \\ x'' = \dfrac{-8}{2} \\ \\ \\ x'' = -4$

S = {6, -4 }