Hi,

Kindly help me with this roots question...please

If the roots of the equation 4x³ + 7x² - 5x - 1 = 0 are α, β and γ, find the equation whose roots are

i. α + 1, β + 1 and γ + 1

ii. α², β², γ²

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- Oct 10th 2009, 06:25 PMHellbentRoots of cubic equation
Hi,

Kindly help me with this roots question...please

If the roots of the equation 4x³ + 7x² - 5x - 1 = 0 are α, β and γ, find the equation whose roots are

i. α + 1, β + 1 and γ + 1

ii. α², β², γ² - Oct 11th 2009, 02:05 AMred_dog
We have . Then

1)

In this case the easiest way is to let . Then and replace x in the equation:

Now continue.

2) Let

Then the equation is - Oct 11th 2009, 05:18 AMadkinsjr
- Oct 11th 2009, 06:35 AMred_dog