Question

utilizando a formula de bhaskara, resolva as seguintes equações:
a) 3x² - 7x + 2=0
b) 4x² - 4x + 1 = 0

Answer 1

AnyneliimaAnayne,

a) 3x² - 7x + 2
a = 3
b = -7
c = 2

Δ = b² - 4.a.c
Δ = (-7)² - 4.3.2
Δ = 49 - 24
Δ = 25

Se Δ > 0, temos:

x = -b +- √Δ / 2.a
x = -(-7) +- √25 / 2.3
x = 7 +- 5 / 6

x' = 7+5/6 = 12/6 = 2
x'' = 7-5/6 = 2/6 = 1/3

S = {2, 1/3}

b) 4x² - 4x + 1 = 0
a = 4
b = -4
c = 1

Δ = b² - 4.a.c
Δ = (-4)² - 4.4.1
Δ = 16 - 16
Δ = 0

Se Δ = 0, temos:

x = -b/2.a
x = -(-4)/2.4
x = 4/8
x = 1/2

S = {1/2}