answersLogoWhite

0


Best Answer

Yes, they do. If a+bi is a solution, a-bi is also a solution.

User Avatar

Wiki User

15y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why do imaginary solutions come in pairs?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

A quadratic equation can't have one imaginary solution?

That's true. Complex and pure-imaginary solutions come in 'conjugate' pairs.


How can you determine whether a polynomial equation has imaginary solutions?

To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.


If the discriminant is negative the equation has solutions?

As stated in the attached link, there are three possible discriminant conditions: Positive, Zero, or Negative. If the discriminant is negative, there are no real solutions but there are two imaginary solutions. So, yes there are solutions if the discriminant is negative. The solutions are imaginary, which is perfectly acceptable as solutions.


Which 2 order pairs are solutions of y x 5?

Which 2 order pairs are solutions of y x + 5


What kind of solution does an equation has if the discriminant is negative?

If the discriminant is negaitve, there are no "real" solutions. The solutions are "imaginary".


Do quadratic equations always have two real solutions?

No. A quadratic may have two identical real solutions, two different real solutions, ortwo conjugate complex solutions (including pure imaginary).It can't have one real and one complex or imaginary solution.


Is it possible to have imaginary solutions when solving a polynomial equation?

yes


What actors and actresses appeared in The Imaginary Solutions of Thomas Chimes - 2007?

The cast of The Imaginary Solutions of Thomas Chimes - 2007 includes: Thomas Chimes as himself Phillip Mitsis as himself


How many x-intercepts can a cubic function have?

you can have either one or three x-intercepts, but now 2. because two real roots means 1 imaginary root which is not possible since imaginary roots come in pairs (2,4,6,8...)


Which pairs are solutions to the equation?

That depends on the equation.


You can determine by the discriminant whether the solutions to the equation are real or numbers?

imaginary


How do you make an imaginary friend come to life?

You cannot make your imaginary friend come to life.