tengo que resolver estas ecuaciones de numeros complejos:
a)x^2-9=0
b)5x^2-15=0
c)x^2-3x-4=0
d)2x^2-5x+1=0
e)7x^2-7x=0
f)2x^2+3x=0
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a) x^2 - 9 = 0
x^2 = 9
x1 = 3
x2 = - 3 S = {- 3, 3}
b) 5x^2 - 15 = 0
5x^2 = 15
x^2 = 3
x1 = raiz de 3
x2 = - raiz de 3 S = {(- raiz de 3), (raiz de 3)}
c) x^2 - 3x - 4 = 0
Factirizando
(x - 4)(x + 1) = 0
x - 4 = 0 x1 = 4
x + 1 = 0 x2 = - 1 S = {- 1 , 4}
d) 2x^2 - 5x + 1 = 0
Fórmula general
x =[- b +/- (raiz delta)]/2a
delta = b2 - 4.a.c
= 25 - 4(2)(1)
= 17
x = [5 +/- (raiz de17)]/4
x1 = [5 - (raiz de 17)]/4
x2 = [5 + (raiz de 17)]/4
S = {[5 - (raiz de 17]/4], [5 + (razi de 17)]/4]}
e) 7x^2 - 7x = 0
Factorizando
7x(x - 1) = 0
7x = 0
x1 = 0
x - 1 = 0 x2 = 1 S = {0, 1}
f) 2x^2 + 3x = 0
x(2x + 3) = 0
x1 = 0
2x + 3 = 0 x2 = - 3/2 S = {- 3/2, 0}
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