Question

The quadratic equation for which the sum of the roots is 12 and the sum of the cubes of the roots
is 468.

Answer 1

Answer:Let α,β be roots of equation

α+β=3

α

3

+β

3

=63

α

3

+β

3

=(α+β)

3

−3αβ(α+β)

6

3

=(3)

3

−3αβ(3)

63=27−9αβ

9αβ=−36

αβ=−4

∴ equation

x

2

−3x+(−4)=0

Step-by-step explanation: