if alpha and beta are the zeroes of the polynomial p(x)= 3x^2 -4x +1,find the quadratic polynomial whose zeroes are alpha square /beta and beta square/alpha
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see the image attached now I solve it
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roots of p(x) are 1 and 1/3
let aplha is 1 and beta is 1/3
so alpha sq. / Beta is 3
and beta sq. / alpha is 1/9 so reqd eqn is
x^2 - (3+1/9)x +1/3= 0
let aplha is 1 and beta is 1/3
so alpha sq. / Beta is 3
and beta sq. / alpha is 1/9 so reqd eqn is
x^2 - (3+1/9)x +1/3= 0
equation of any quadratic is given by: x^2-(sum of roots) + ( products of root) =0
equation of any quadratic is given by: x^2-(sum of roots) + ( products of root) =0
equation of any quadratic is given by: x^2-(sum of roots) + ( products of root) =0
equation of any quadratic is given by: x^2-(sum of roots) + ( products of root) =0
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