Question

If alpha and beta are the zeros of the polynomial X2 +4x-5 fund the value of alpha square+beta square

Answer 1

Answer:

26

Step-by-step explanation:

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Answer 2

Answer:

26

Step-by-step explanation:

First we will factorise x2+4x-5 to get alpha and beta which are the zeros of this polynomial.

Let p(x)=x2+4x-5

So by Mid term splitting, we get : x2+5x-x-5

x(x+5)-1(x+5)

(x+5)(x-1)

So (x+5) and (x-1) are the factors of p(x)

Now zeros of p(x) will be x+5=0 and x-1=0

x=-5 and x=1. So zeros of p(x) are -5 and 1.

Hence alpha and beta are -5 and 1 respectively.

So ,(alpha)² + (beta)² = (-5)² + (1)²

25 + 1 = 26.