find the number who's sum is -2 and product is 99

Answer 1

x + y = -2

x = -2-y

xy = 99

(-2-y)y = 99

-2y -y^2 =99

y^^2 + 2y = -99

(y+1)^2 = -99 + 1

y = -1 + or - sqr(-98) = -1 + or - isqr98

x = -2 +1 + or - sqr(-98)= -1 + or - isqr98

x and y are a conjugate pair

xy = (-1+ isqr98)(-1-isqr98) = 1+98 = 99

x+y = (-1+isqr98 + -1 - isqr98 = -2

x= -1 + 7isqr2

y=-1 - 7isqr2

x = approximately -1 + 10i

y = approximately -1 - 10i

only solution is imaginary

there can't be a real solution

for a product of two numbers to be positive, either they are both positive or both negative

If both positive they can't sum to negative two.

If both negative, their sum will be less than negative two

No real solution exists, just a complex imaginary solution