If the product of roots of the equation $x^{2} - 3 (2 a + 4) x + a^{2} + 18 a + 81 = 0$ is unity, then a can take the values as

3, -6

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10, - 8

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-10, -8

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-10, -6

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Solution

The correct option is C -10, -8
The product of the roots is given by: $\frac{a^{2} + 18 a + 81}{1} .$
Since product is unity we get: $a^{2} + 18 a + 81 = 1$
Thus, $a^{2} + 18 a + 80 = 0$
Solving, we get a = - 10 and a = - 8.

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