Original post by shiny467
Solve 32z^3 - 14z + 3 = 0 given that one root is twice the other.
The z^2 coefficient is zero. How does that help?
Original post by mqb2766
The z^2 coefficient is zero. How does that help?
Does that mean there are only two roots?
Original post by shiny467
Does that mean there are only two roots?
No, its a cubic so there are 3 roots. What does each of the coefficients represent in terms of the roots so the constant, z coefficient and z^2 coefficient? You have for the cubic
a(z-b)(z-c)(z-2c)
so roots b, c and 2c. The simplest way is to start with the fact that the z^2 coefficient is zero.
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