answersLogoWhite

0


Best Answer

Yes. It can have 0, 1, or 2 solutions.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Can a system of two quadratic equations have two solutions?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Most quadratic equations have?

two solutions


Most quadratic equations have what?

Two solutions


What are the two solutions for quadratic equations?

Quadratic curves only have two solutions when the discrimant is greater than or equal to zero.


Why quadratic equations have two solutions?

If the discriminant of b2-4ac of the quadratic equation is greater the 0 then it will have 2 solutions.


Do you agree that quadratic equations has at most two solutions?

Yes and sometimes the two solutions are equal


Most quadric equations have?

A quadratic equation can have two real solutions, one real solution, or two complex solutions, none of them real.


Why are there usually two solutions in quadratic equations and when do they only have one solution?

If the discriminant of the quadratic equation is greater than zero then it will have two different solutions. If the discriminant is equal to zero then it will have two equal solutions. If the discriminant is less than zero then it will have no real solutions.


Why are there usually two solutions to a quadratic equation?

In the graph of a quadratic equation, the plotted points form a parabola. This parabola usually intersects the X axis at two different points. Those two points are also the two solutions for the quadratic equation. Alternatively: Quadratic equations are formed by multiplying two linear equations together. Each of the linear equations has one solution - multiplying two together means that the solution for either is also a solution for the quadratic equation - hence you get two possible solutions for the quadratic unless both linear equations have exactly the same solution. Example: Two linear equations : x - a = 0 x - b = 0 Multiplied together: (x - a) ( x - b ) = 0 Either a or b is a solution to this quadratic equation. Hence most often you have two solutions but never more than two and always at least one solution.


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.


Can a system of two linear equations have exactly two solutions?

Yes, a system can, in fact, have exactly two solutions.


There is a system of linear equations with exactly two solutions is it true or false?

False. There can either be zero, one, or infinite solutions to a system of two linear equations.


Why a system of linear equations cannot have exactly two solutions?

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.