Question

If α, β are zeroes of the quadratic polynomial x
2
-7x+10, find the value of
α
3+β
3
.

Answer 1

Answer:

133

Step-by-step explanation:

Since α and β are zeroes of quadratic equation x²-7x+10

There α+β=7 and αβ=10

Now α³+β³=(α+β)(α² + β² -αβ)

                  =(α+β)((α+β)²-3αβ)

                  =(7)(49-30)

                  =133