Answer:
[tex]x^{2} -x-1[/tex]
Step-by-step explanation:
Sum and product of roots is given.
The quadratic equation can be obtained using the formula.
[tex]x^{2} -(sum \ of \ roots)x+(product \ of \ roots)\\sum \ of \ roots=1\\product \ of \ roots=-1\\Quadratic \ Equation \ \ x^{2} -x-1[/tex]