If alpha beta are the zeros of the polynomial X square + 2 X + 1 then find the value of alpha + beta
Answers
Answered by
3
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.
Answered by
0
Answer:
-2 is the answer.............
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