Question

RESOLVA AS EQUAÇÕES;

A) 4X² - 100 = 0
B) 4X² - 25 = 0
C) X² + 2X = 0
D) 4X² - 5X = 0

Respondam encontrando o ∆ e depois com Bhaskara PORFAVORR​

Answer 1

Explicação passo-a-passo:

a)

4x² - 100 = 0

Δ = 0² - 4.4.(-100)

Δ = 0 + 1600

Δ = 1600

x = (0 ± √1600)/2.4 = (0 ± 40)/8

• x' = (0 + 40)/8 = 40/8 = 5

• x" = (0 - 40)/8 = -40/8 = -5

b)

4x² - 25 = 0

Δ = 0² - 4.4.(-25)

Δ = 0 + 400

Δ = 400

x = (0 ± √400)/2.4 = (0 ± 20)/8

• x' = (0 + 20)/8 = 20/8 = 5/2

• x" = (0 - 20)/8 = -20/8 = -5/2

c)

x² + 2x = 0

Δ = 2² - 4.1.0

Δ = 4 - 0

Δ = 4

x = (-2 ± √4)/2.1 = (-2 ± 2)/2

• x' = (-2 + 2)/2 = 0/2 = 0

• x" = (-2 - 2)/2 = -4/2 = -2

d)

4x² - 5x = 0

Δ = (-5)² - 4.4.0

Δ = 25 - 0

Δ = 25

x = (5 ± √25)/2.4 = (5 ± 5)/8

• x' = (5 + 5)/8 = 10/8 = 5/4

• x" = (5 - 5)/8 = 0/8 = 0