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

Question

2 years ago

5

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

Mathematics

1 answer:

olasank [31] · Answer 1 · 2022-10-03T10:49:52+03:00

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

_____

<em>Additional comment</em>

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