Respuesta :

Good morning,

Answer:

The quadratic equation is :  x²+x+1=0

Step-by-step explanation:

Generally:

let S be the sum of the roots z₁ and z₂

and P be the product of the roots z₁ and z₂

then z₁ and z₂ are the solutions for the equation:  x² − Sx + P = 0

Now,

S=-1 and P=1 then the equation is x²+x+1=0.

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:)