Question

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

Answer 1

`x^(2) -x-1`

Explanation:

Sum and product of roots is given.

The quadratic equation can be obtained using the formula.

`x^(2) -(sum \ of \ roots)x+(product \ of \ roots)\\sum \ of \ roots=1\\product \ of \ roots=-1\\Quadratic \ Equation \ \ x^(2) -x-1`