Question

If one of the zero of the polynomial p(x)=(a^2+9)x^+45x+6a is reciprocal of the other , find the value of a.

Answer 1

Step-by-step explanation:

Let it's two zeros be x and y

xy = 6a/(a² + 9 )

x = 1/y. Given

x(1/x) = 6a/ ( a² + 9 )

a² + 9 = 6a

a² - 6a + 9 = 0

a² -3a - 3a + 9 = 0

a ( a - 3 ) -3 ( a - 3 ) = 0

a = 3

Answer 2

Step-by-step explanation:

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