Question

Resolva no conjunto dos complexos:

a)x*2+100=0
b)2x*2+50=0
c)2x*2+8x+10.
d)3x*2+12x+30.

Answer 1

Oi Gabsgenia

a)

x² + 100 = 0
x² = -100
x1 = 10i, x2 = -10i 

b) 

2x² + 50 = 0
x² = -25
x1 = 5i, x2 = -5i

c)

2x² + 8x + 10 = 0
x² + 4x + 5 = 0
delta
d² = 16 - 25 = -9
d = 3i
x1 = (-4 + 3i)/2, x2 = (-4 - 3i)/2

d)

3x² + 12x + 30
x² + 4x + 10 = 0
delta
d² = 16 - 40 = -24 
d = 2√6i
x1 = (-4 + 2√6i)/2 = -2 + √6i
x2 = (-4 - 2√6i)/2 = -2 - √6i

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