Question

If alpha beta are the zeros of the polynomial X square + 2 X + 1 then find the value of alpha + beta

Answer 1

Answer:

-2

Step-by-step explanation:

Hii mate,

we have to find here the sum of zeroes of given equation.

Shortcut method:

general form of a quadratic polynomial

x²-(sum of zeroes)x+(product of zeroes)=0

comparing it with given equation x²+2x+1=0 => x²-(-2)x+1=0, we get

Sum of zeroes= -2

General method:

given equation,

x²+2x+1=0

=>x²+x+x+1=0

=>x(x+1)+1(x+1)=0

=>(x+1)(x+1)=0

=>(x+1)=0 or (x+1)=0

=>x=α= -1 and x=β= -1

so, α+β=(-1)+(-1)=-1-1= -2

HOPE IT HELPS,

PLEASE THANK , FOLLOW AND MARK AS BRAINLIEST.

Answer 2

Answer:

-2 is the answer.............