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Grade 12th passAlgebra

If α , β are roots of the equation 9x²+6x+1=0 then find the equation whose roots are reciprocal to the given roots.

arif

7 Years agoGrade 12th pass

1 Answer

Ass satwik

7 Years ago

f(x)= 9x^2+6x+1

Now we have to find a equation whose root is y where y=(1/x)

So x=(1/y)

Substituting in f(x) we get

f(1/y)= 9(1/y)^2+6(1/y)+1

Simplifing will give y^2+6y+9

So, x^2+6x+9=0 is equation with reciprocal roots of 9x^2+6x+1=0.

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