IF ONE ZERO OF THE POLYNOMIAL [A 2 +9}X 2 +13X +6A IS A RECEPROCAL OF THE OTHER FIND THE VALUE OF A
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let α and β be the zeros of the polynomial (A^2+9)x²+13x+6A
It is given that α=1/β
αβ=1
c/a=1
constant term/coefficient of x²=1
6A/A^2+9=1
6A=A^2+9
A^2-6A+9=0
A^2-3A-3A+9=0
A(A-3)-3(A-3)=0
(A-3)(A-3)=0
A=3
It is given that α=1/β
αβ=1
c/a=1
constant term/coefficient of x²=1
6A/A^2+9=1
6A=A^2+9
A^2-6A+9=0
A^2-3A-3A+9=0
A(A-3)-3(A-3)=0
(A-3)(A-3)=0
A=3
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