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Grade 12th passAlgebra

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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Profile image of Rajorshi Koyal
11 Years agoGrade 12th pass
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1 Answer

Profile image of Akshay
11 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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