What are two numbers whose sum -6 and product is -5?

Answer 1

-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.