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Quadratic Equation: Sum and Product of the Roots

How to find the quadratic equation from the sum and product of the roots (and vice versa): 2 formulas, 4 examples, and their solutions.

FormulaRoots → Quadratic Equation

ExampleRoots: 3, 4

ExampleOne Root: 2 + i

FormulaQuadratic Equation → Sum and Product of the Roots

Examplex2 + 6x + c = 0, One Root: 2, Other Root = ?

Example3x2 + bx - 15 = 0, One Root: 5, Other Root = ?