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What are the following roots of the polynomial x3-6x2 plus 7x-2?
Wiki User
∙ 13y ago
x3 - 6x2 + 7x - 2 = x3 - x2 - 5x2 + 5x + 2x - 2
= x2(x - 1) - 5x(x - 1) + 2(x - 1)
= (x - 1)(x2 - 5x + 2)
= (x - 1){x - 0.5*[5 - sqrt(25 - 8)]}){x + 0.5*[5 - sqrt(25 - 8)]}
= (x - 1)(x - 0.4384)(x - 4.5616)
so that the roots are
x = 1
x = 0.4384
and
x = 4.5616
Wiki User
∙ 13y ago
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