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I really cannot understand where 1 should be substitued by i^2 and where it should be substituted by(w+w^2).the attachment is attached herewith.

I really cannot understand where 1 should be substitued by i^2 and where it should be substituted by(w+w^2).the attachment is attached herewith.

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Grade:12th pass

1 Answers

Akshay
185 Points
8 years ago
If you have an equation: f(x) = a.x2+bx+c, it can always written as
f(x) = [x - (-b+(b2-4ac)1/2)/2a] * [x + (-b+(b2-4ac)1/2)/2a] – (1),
in first equation roots will be +i and -i,
in second equation the roots will be w and w2.
Verify this by putting values of a,b,c in eq(1).
 
Normally for problems that have cubic powers, you have to use (1,w,w2) to substitute 1, as i3 is not equal to 1.

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