3 years ago

How many complex roots does the polynomial equation below have? x7 - 3x5 + 4x2 - 1 = 0

Mathematics

1 answer:

inysia [295]3 years ago

7 0

Answer:

4 complex roots

Step-by-step explanation:

The easiest way is to use a graphing tool and solve it graphically.

We did it with Desmos and it shows 3 real roots, see below.

The polynomial is of degree 7, hence it should have 7 roots.

Since there are 3 real roots, the remaining ones are complex, so there are 4 complex roots

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