How do i prove this?

If one root of the equation ax^2 + bx + c = 0 is square of the other, show that b^3 + a^2.c + a.c^2 = 3abc

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- Aug 28th 2009, 03:35 AMsaberteethProving Quadratic Equation
How do i prove this?

If one root of the equation ax^2 + bx + c = 0 is square of the other, show that b^3 + a^2.c + a.c^2 = 3abc - Aug 28th 2009, 04:03 AMTaluivren
If x,y are roots and one is the square of the other, then or . It follows that

Now Viete's formulas say and**.**So from which by multipliyng by the conclusion follows.

- Aug 28th 2009, 04:33 AMDeMath