Question

find the value of alpha^2+beta^2 for the polynomial x^2-7x+10​

Answer 1

Answer: 49.

Step-by-step explanation:

Given p(x) = x²-7x+10

Solving the equation by splitting the middle term method we get,

x²-5x-2x+10

x(x-5)-2(x-5)

(x-2)(x-5)

x = 2 and x=5

Therefore,

α = 2

β = 5

Now,

According to question, we've to find,

(α+β)² = (2+5)²

          = (7)²

          = 49