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how can you determine a quadratic equation given the sum of the roots?

Sagot :

x² - (sum of roots)x + (products of roots) = 0

Example:  The roots are 2 and -5

Sum of roots:
2 + (-5) = -3

Product of roots:
(2) (-5) = 10

The equation is:

x² - (-3)x + (-10) = 0

x² + 3x - 10 = 0