Question

Find a quadratic polynomial whose zero are alpha and beta satisfying the relations alpha+beta =3 and alpha- beta =-1​

Answer 1

Answer:

the required answer to the question is given in pic

hope you understand

Answer 2

ANSWER : x square plus 3x minus 2 = 0

Step-by-step explanation:

alpha + beta = 3

alpha - beta = -1

alpha + beta = -b/a

-b/a = 3

-b=3

a=1

b= -3

alpha - beta = -1

squaring on both sides

alpha2 +beta2-2alpha beta=1

alpha + beta the whole square -2alphabeta-2alphabeta=1

alpha +beta the whole square-4alphabeta=1

3square-4alphabeta=1

9-4alphabeta=1

4alphabeta = 8

alphabeta=2

c/a=2

c=2

a=1

the required equation is:

x2+3x-2=0