<PRE><B>Question 1135310</B>
let a be one of the numbers and let b be the other of the numbers.


you get a * b = -6 and you get a + b = 7


in the second equation, solve for a to get a = 7 - b.


in the first equation, replace a with 7 - b to get (7 - b) * b = -6.


simplify this to get 7b - b^2 = -6


subtract 7b and add b^2 to both sides of the equation to get 0 = b^2 - 7b - 6


this is the same as b^2 - 7b - 6 = 0


factor this equation using the quadratic formula to get:


b = 7.772001873 or b = -.7720018727.


solve for a in the first equation to get:


when b = 7.772001873, a= -6 / 7.772001873 = -.7720018727.


when b = -.7728018727, a = -6 / -.7720018727 = 7.7720018727.


add them together, you get 7.


multiply them together you get -6.


so you have two possible answers.


a = -.7720018727 when b = 7.772001873


a = 7.772001873 when b = -.7720028727


your answer should be that one of the numbers is equal to 7.772001873 and the other number is -.7720028727


multiply them together, you get -6.


add them together, you get 7.








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