Question

Find the sum of squares of roots of ax^4+bx^3+cx^2+dx+e=0

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Answer 1

Ans is

Ax4+bx3+Cx2+dx+e is the 4th degree polynomial e.g byquadritic polynomaial.

We cant find exactly what is the root of given polynomial.But atleast one root given then we find out by relation between roots and coffiecient.

here ax4+ bx3+cx2+dx+e is given polynomial . let A , B, C Nd D are the roots of this , then

A+B+C+D =-b/a

(A+B)(C+D)+AB+CD=c/a

AB(C+D)+CD(A+B)=-d/a

ABCD=e/a

Let ¢ is the root of given polynomial, this question has asked find another root of this polynomial.

then u should be use relation.

you will have four equation and three variable then solution possible .I know its complicated .But i think this is kne option for finding roots when directly factorization not possible.