Question

If a , ß, y are the roots of the equation x3 + px? + r = 0. Find
the value of c? + B2 + y2​

Answer 1

Answer:

Put y=x3 in the equation x3+r=−px2−qx

⇒y+r=−x(px+q)

⇒(y+r)3=−x3(px+q)3

⇒(y+r)3=−y(p3x3+q3+3p2qx2+3pq2x)

⇒(y+r)3=−y(p3y+q3+3pq(px2+qx))

⇒(y+r)3=−y(p3y+q3+3pq(−x3−r))

⇒(y+r)3=−y(p3y+q3+3pq(−y−r))

⇒y3+(3r+p

hope it helps you