$\"\"$

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Two complex conjugate numbers sum is $\"\"$ and product is $\"\"$ .

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Find the two numbers.

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Let $\"\"$ and $\"\"$ are two complex conjugate numbers.

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Hence the sum of the two numbers is $\"\"$ such that the equation is $\"\"$ .

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$\"\"$ (Combine like terms)

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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The product of the two numbers is $\"\"$ such that the equation is $\"\"$ .

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$\"\"$ (Differences of squares: $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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Therefore, the two numbers are $\"\"$ and $\"\"$ .

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$\"\"$

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Ttwo numbers are $\"\"$ and $\"\"$ .