Question

The graph shows the system of equations that can be used to solve x cubed + x squared = x minus 1.On a coordinate plane, a line with positive slope and a cubic function are shown. They intersect at (negative 2, negative 3).Which statement describes the roots of this equation?1 rational root and 2 complex roots1 rational root and 2 irrational roots3 irrational roots3 rational roots

Answer 1

9514 1404 393

Answer:

  (a) 1 rational root and 2 complex roots

Step-by-step explanation:

If you believe the description of the point of intersection, it represents a single real (and rational) root of the equation. Then the other two roots must be complex. The equation has (reportedly) ...

  1 rational root and 2 complex roots

_____

Additional comment

In fact, the only real root is irrational, near -1.8392867552141611326. It is not x = -2. Trying x = -2 in the equation gives -8 +4 = -2 -1, a false statement.