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-2 and -3
Check:
(-2) + (-3) = -5
(-2)(-3) = 6
Thus -2 and -3 are not the required numbers. let's find them: x + y = -6
xy = -5 y = -x -6
x(-x - 6) = -5
-x^2 - 6x = -5
x^2 + 6x = 5
x^2 + 6x + 9 = 5 + 9
(x + 3)^2 = 14
x + 3 = (+ & -)square root of 14
x = -3 (+ & -)square root of 14
x = -3 + square root of 14 or x = - 3 - square root of 14
y = -x - 6
y = 3 - square root of 14 - 6 or y = 3 + square root of 14 - 6
y = -3 - square root of 14 or y = -3 + square root of 14
Check:
(-3 + square root of 14) + (-3 - square root of 14) = -6
(-3 + square root of 14)(-3 - square root of 14) = -5 ?
(-3)^2 - (square root of 14)^2 = -5 ?
9 - 14 = -5
Check also tow other numbers.
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