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Sum of n Terms

If a+i b is a...

Question

If a + ib is a root of the equation. $x^{2}$ + x + 1 = 0, where a, b ∈ R and a ≠ 0, b ≠ 0, find the value of a.

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- $\frac{1}{2}$

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$\frac{1}{2}$

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Solution

The correct option is B
- $\frac{1}{2}$

If a + ib is a root, the other root will be a - ib.

Sum of the roots = -1

⇒ a + ib + a - ib = -1

⇒ 2a = -1

⇒ a = $\frac{(- 1)}{2}$

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