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the product of two numbers is 144 but their sum is-24 what are these two numbers ?

Respuesta :

The 2 numbers are 12 and12
The easiest way is to use the following quadratic equation related to sum and product:

X² - SX + P =0, where S = sum and P = product

X² - (-24)X + 144 = 0
X² + 24X + 144 = 0.
Extract the roots: X' = [-b+√(b²-4ac)]/2a and X" = [-b-√(b²-4ac)]/2a

X' = [-24+√(-24)²-4(1)(144)]/2  X' = (-24√0)/2 → X' = X" = -12

Then the 2 numbers are -12 and -12