$\"\"$

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Let us consider the two numbers as $\"\"$ and $\"\"$ .

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The sum of two numbers is $\"\"$ .

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The product of two numbers is $\"\"$ .

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$\"\"$ (Rewrite the first eqaution)

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$\"\"$ (Substitute $\"\"$ in the second equation)

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Simplify)

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$\"\"$ (Rewrite the equation)

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$\"\"$

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Find two numbers.

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$\"\"$ (Group terms with common factors)

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$\"\"$ (Factors the GCF from each group)

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$\"\"$ (Apply distributive property: $\"\"$ )

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$\"\"$ (or) $\"\"$ (Zero product property)

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$\"\"$ (or) $\"\"$ (Solve each equation)

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

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$\"\"$

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Find $\"\"$ by substituting $\"\"$ and $\"\"$ .

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Case(i): For $\"\"$ .

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$\"\"$ (Substitute $\"\"$ in the first equation)

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

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$\"\"$ (Simplify)

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Case(ii): For $\"\"$ .

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$\"\"$ (Substitute $\"\"$ in the first equation)

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Simplify)

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Therefore, the values of $\"\"$ and $\"\"$ .

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$\"\"$

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The two numbers are $\"\"$ or $\"\"$ .