Question

(4p²+2p+q)+(-5p²-5p-2)​

Answer 1

Answer:

-p^2-3p+q-2

Step-by-step explanation:

open the brackets and then solve

hope it helps

4p^2-5p^2+2p-5p+q-2

-p^2-3p+q-2

Answer

Answer 2

Answer:

Answer:

3x² - 5x - 100 = 0

Step-by-step explanation:

We are given that p and q are both roots of the quadratic

3x² - 5x - 2 = 0.

So   p+q = 5/3   and   pq = -2/3.

Let α=3p-2q and β=3q-2p.  We need a quadratic with α and β as roots.

We have

α+β = (3p-2q) + (3q-2p) = p+q = 5/3

and

αβ = (3p-2q) (3q-2p)

    = 9pq - 6p² - 6q² + 4pq

    = 13pq - 6(p²+q²)

    = 25pq - 6(p²+2pq+q²)

    = 25pq - 6(p+q)²

    = 25 × (-2/3)  -  6 × (5/3)²

    = - 50/3  - 50/3

    = -100/3

So α and β are roots of

3x² - 5x - 100 = 0.