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Value of a is 3.
Step-by-step explanation:
Given Polynomial, p(x) = ( a² + 9 ) x² + 45x + 6a
One zero is reciprocal of another zero
Let say α be one zero
⇒ is 2nd zero.
According relation of coefficient and zeroes, we have
⇒ a - 3 = 0 ⇒ a = 3
Therefore, Value of a is 3.
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