Let answers be x and y.
To add them, put a plus sign "+" between them,like this: x+y
"To get 6", you write "= 6" after it, like this: x+y = 6
To multiply them, putting a multiplication symbol (dot) "∙" between them,like this: x∙y
"To get -86", you write "= -86" after it: x∙y = 6
x+y=6
x∙y=-86
To solve that you solve the first equation for one of the letters, say, y:
x+y=6
y=6-x
Now you substitute (6-x) in parentheses for x in the other equation
x∙y=-86
x∙(6-x)=-86
6x-x²=-86
Get 0 on the right by adding 86 to both sides:
6x-x²+86=0
Write the terms of the left side in descending order:
-x²+6x+86=0
We want the x² term to be positive so we multiply every term on
both sides by -1:
x²-6x-86=0
That does not factor, so we use the quadratic formula:
a = 1, b =-6, c = -86
You finish:
Answer:
,
Edwin