The sum of two numbers is −4. If one number is subtracted from the other, their difference is 2. Find the numbers.
1 answer:
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The plus-minus sign represents that there are two possible outcomes.
In this case, we have
. When we branch out the possibilities we got 2 values: 
and 
Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.
When we multiply them:
When we FOIL the we get:
Simplify:
So the product of the two roots of this equation is 6.
In this case, we have
Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.
When we multiply them:
When we FOIL the we get:
Simplify:
So the product of the two roots of this equation is 6.