449,978 views
28 votes
28 votes
Theequation ^4 +^3 −−1=0a. Has four unequal complex rootsb. Has two equal real roots and two equal complex rootsc. Has two unequal real roots and two unequal complex rootsd. Has one real root of multiplicity 2 and a second real root of multiplicity 2e. Is not solvable

User Jklp
by
3.0k points

1 Answer

20 votes
20 votes

Answer:

Alternative C - Has two unequal real roots and two unequal complex roots

Step-by-step explanation:

The roots of this equation are:

(solved using the computer):


1,\text{ -1, }\frac{1-i\sqrt[]{3}}{2},\text{ }\frac{1+i\sqrt[]{3}}{2}

As we can see, we have two unequal real roots and two unequal complex roots.

Alternative C.

User Lilienthal
by
2.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.