Question

if alpha and beta are the zeros of the polynomial x square - 8 x + A and and Alpha square minus beta square equal to 40 find the value of a

Answer 1

Hey mate!!@

here is ur ans



Hope it helps u

Answer 2

here is your answer by Sujeet,

Given that zeroes of polynomial,
alpha and beta,

x²-8x+a

then,
a+b=8
a=8-b

Now putting the value in a polynomial,

a²-b²=40
(a+b)(a-b)=40
8(a-b)=40
a-b=40/8
a-b=5

then,

Now putting the value of a in equation,

a-b=5
8-b-b=5
8-2b=5
-2b=5-8
-2b=-3
b=3/2

now putting the value of a,
a+b=8
a+3/2=8
a=8/1-3/2
a=13/2

then,

Product of zeroes=c/a

a×b=a/1
13/2×3/2


39/4=a/a
a=39/4