Grade 12th passAlgebra

If the sum of two roots of the equation X^3 - pX^2 +qX - r = 0 is zero then (1) pq = r (2) qr = p(3) pr = q (3) pqr = 1

Vikash Kumar Singh

8 Years agoGrade 12th pass

1 Answer

Arun

8 Years ago

hence we can say that those two roots will be opposite sign but equal magnitude.

let those are m, -m

now sum of three roots = p

hence third root will be p

now

m*(-m) + m*p + (-m)*p = q

hence –m² = q

now m*( –m) * p = r

–m² p = r

put value of –m² = q

hence pq = r

hence option A will be correct

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If the sum of two roots of the equation X^3 - pX^2 +qX - r = 0 is zero then (1) pq = r (2) qr = p(3) pr = q (3) pqr = 1

Vikash Kumar Singh

1 Answer

Arun

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