Question

The graph shows the system of equations that can be used to solve x3+x2=x-1

Which statement describes the roots of this equation?

1 rational root and 2 complex roots

1 rational root and 2 irrational roots

3 irrational roots

3 rational roots

Answer 1

The answer is A

Explanation:

Answer 2

A. 1 rational root and 2 complex roots

Explanation:

The equation
`x^3+x^2=x-1` has the expression
`x^3+x^2` in the left side and the expression
`x-1` in the right side.

when ypu plot the graphs of the functions
`y=x^3+x^2` and
`y=x-1,` the number of intersection points shows the number of real solutions. These two graphs intersect only once, so the equation has one real solution. The third power equation should have three solutions, thus, two remaining solutions are complex.