Question

x ao quadrado + 2x - 35 = 0

Answer 1

x² + 2x - 35 = 0

a = 1
b = 2
c = -35

Δ = b² - 4 .a . c
Δ = 2² - 4 . 1 . (-35)
Δ = 4 + 140
Δ = 144

$\mathtt{\dfrac{-b+-~\sqrt{\Delta}}{2~.~a}~~=~~\dfrac{-2+-~\sqrt{144}}{2~.~1}~~=~~\dfrac{-2+-~12}{2}} \\ \\ \\ \mathtt{x' = \dfrac{-2+12}{2}~~=~~\dfrac{10}{2}~~=~~5} \\ \\ \\ \mathtt{x'' =\dfrac{-2-12}{2}~~=~~-\dfrac{14}{2}~~=~~-7} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta : S:-7~~e~~5}}}$

Answer 2

∆=b-4•a•c
∆=2•2-4•1•(--35)
∆=4+140
∆=144
$- 2 + 12 \div 2$