The graph shows the system of equations that can be used to solve x^3+x^2=x-1.which statement describes the roots of this equation?

Equation has one real root and two complex roots.

Step-by-step explanation:

The equation consists of two parts. The left side of this equation can be represented by the function and the right side can be represented by the function Graphs of both these functions are shown in the attached diagram.

These graphs have one common point, this means that the equation has one real solution (approximately, x≈-1.839).

Given equation is cubic, then this equation has three roots. Since only one root is real, then two remaining roots are complex.

Equation has 1 real root and 2 complex roots.

Step-by-step explanation:

Given : =  .

To find : Which statement describes the roots of this equation.

Solution : We have =  .

We can write it as  .

Graphs of both these functions shows one common point, this means that the equation =   has one real solution (approximately, x≈-1.839).

But degree is 3 .

So, it has maximum 3 root.

Therefore, Equation has 1 real root and 2 complex roots.

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