Question

Observe a equaçao do 2* grau x2-9x+14=0 quais sao as raizes dessa equaçao

Answer 1

x² - 9x + 14 = 0
a = 1, b = - 9, c = 14

Δ = b² - 4ac
Δ = (- 9)² - 4 . 1 . 14
Δ = 81 - 56
Δ = 25

x = (- b ± √Δ)/2a
x = (- (- 9) ± √25)/2 . 1
x = (9 ± 5)/2

x' = (9 + 5)/2 = 14/2 = 7
x'' = (9 - 5)/2 = 4/2 = 2

x = 7, x = 2

Resposta: As raízes são 7 e 2.

Answer 2

Aplicamos Bhaskara.
x² - 9x +14 = ax² + bx +c = 0
Δ = b² - 4.a.c = -9² - 4.1.14 = 81 - 56 = 25
(-b +-√Δ)/2a = (9+-5)/2 ⇒ x=2 ou x=7
Espero te sido claro.