Question

-2x elevado a 2 -14x-24=0

Answer 1

Resposta:

x¹ = 4√97

x² = 3√97

Explicação passo-a-passo:

2x² - 14x - 24 = 0

(2x² - 14x - 24)/2

x² - 7x - 12 =0

a = 1

b = -7

c = -12

-b ± √Δ/2a

Δ = b² - 4ac

Δ = (-7)² - 4.1.(-12)

Δ = 49 +48

Δ = 97

-(-7) ± √97/2.1

7 ± √97/2

x¹ = 7 + √97/2

x¹ = 8√97/2

x¹ = 4√97

x² = 7 - √97/2

x² = 6√97/2

x² = 3√97

Answer 2

- 2x² - 14x - 24 = 0

A= - 2

B= - 14

C= - 24

∆= b² - 4ac

∆= ( - 14)² - 4 • ( - 2) • ( - 24)

∆= 196 - 192

∆= 4

x= - b ± √∆ / 2a

x= - ( - 14) ± √4 / 2 • ( - 2)

x'= 14 + 2/- 4= 16/-4= - 4

x''= 14 - 2/-4 = 12/-4 = - 3

S= ( - 4 , - 3)