Question

if one zero of the quadratic polynomial ax² + bx + c is cube of other, then the value of sum of the cubes of the zeros is?

Answer 1

ask on physics question

Answer 2

Answer is 3abc-b^3/a^3

Step by step solution:

Let p and q be the roots of the equation

Given p=q^3

We know that p+q = -b/a

pq= c/a

Now let us consider (p+q)^3=p^3+q^3+3pq(p+q)

(-b/a)^3=p^3+q^3+3(c/a)(-b/a)

-b^3/a^3=p^3+q^3-3bc/a^2

P^3+q^3=3bc/a^2-b^3/a^3

Taking lcm, we get a^3,

p^3+q^3=3abc-b^3/a^3

Hope it helped u a lot friends .

Praise Jesus for helping me in solving this and helping all of u

Thank jesus