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a)x^7-x^6=6x^5
b)x^3+2x^2-x-2=0
a)
b)
x^7 - x^6 = 6x^5
x^7 - x^6 - 6x^5 = 0
x^5 *(x^2 - x - 6) = 0
x^5 = 0 ==> xo = 0
lub
x^2 - x - 6 = 0
D = b^2 - 4ac = 1 + 24 = 25
VD = 5
x1 = (-b-VD)/2a = (1-5)/2 = -2
x2 = (-b+VD)/2a = (1+5)/2 = 3
x = -2 v x = 0 v x = 3
x^3 + 2x^2 - x - 2 = 0
x^2 *(x+2) - (x+2) = 0
(x^2 -1)(x+2) = 0
(x+1)(x-1)(x+2) = 0
x1 = -1
x2 = 1
x3 = -2
x = -2 v x = -1 v x = 1
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a)
b)
a)
x^7 - x^6 = 6x^5
x^7 - x^6 - 6x^5 = 0
x^5 *(x^2 - x - 6) = 0
x^5 = 0 ==> xo = 0
lub
x^2 - x - 6 = 0
D = b^2 - 4ac = 1 + 24 = 25
VD = 5
x1 = (-b-VD)/2a = (1-5)/2 = -2
x2 = (-b+VD)/2a = (1+5)/2 = 3
x = -2 v x = 0 v x = 3
b)
x^3 + 2x^2 - x - 2 = 0
x^2 *(x+2) - (x+2) = 0
(x^2 -1)(x+2) = 0
(x+1)(x-1)(x+2) = 0
x1 = -1
x2 = 1
x3 = -2
x = -2 v x = -1 v x = 1