What is a quadratic equation that has a root sum of 1 and product of -1?

Step-by-step explanation:

Let and be the roots of the required quadratic equation.

Then the equation is formed using:

or

From the given information, sum of the roots is:

and the product is

Therefore the required equation is

1.) 2/5-1/6
Multiply the denominator until both denominators are the same
12/30 - 5/30
Subtract the numerator but NOT the denominator
Final 7/30

2.) 3/7-7/14
Multiply the denominator until both denominators are the same common denominator
6/14 - 7/14
Subtract the numerator but NOT the denominator
Final -1/14

3.) 5/8-2/3
Multiply the denominator until both denominators are the same
15/24 - 16/24
Subtract the numerator but NOT the denominator
Final -1/24