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Muchas preguntas en tu tarea
Te ayudo con 2
1)
8x - 65 = -x^2
preparando ecuación
x^2 + 8x - 65 =0
Factorizando
(x + 13)(x - 5) = 0
x + 13 = 0
x1 = - 13
x - 5 = 0
x2 = 5
S = {- 13, 5}
2)
x^2 = 108 - 3x
preparando la ecuación
x^2 + 3x - 108 = 0
factorizando
(x + 12)(x - 9) = 0
x + 12 = 0
x1 = - 12
x - 9 = 0
x2 = 9
S = {- 12, 9}