1.

if alpha and beta are the zeros of of quadratic polynomial x square -6x +a find the value of a if 3 alpha +2beta=20

Answer»

X²-6x+a
Roots are alpha and beta
Sum of [email PROTECTED]+¥=-b/a=6
product of roots=c/a
[email protected] and beta=¥
[email protected]+2¥=20
@[email protected]+2¥=20
@+2(@+¥)=20
@+2(6)=20
@=8 Now beta=¥=-2
c/a
Here c is equal to a in the EQUATION so a =¥@=8×(-2)=-16


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