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

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What are the two solutions for quadratic equations?
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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.


Most quadratic equations have how many solutions?

2


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.


Which of the following systems of equations has no solution?

If they are quadratic equations then if their discriminant is less than zero then they have no solutions

Related questions

Most quadratic equations have what?

Two solutions


Most quadratic equations have?

two solutions


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.


Can a system of two quadratic equations have two solutions?

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


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

Yes and sometimes the two solutions are equal


What is the solution of rational equations reducible to quadratic?

They are the solutions for the reduced quadratic.


Most quadratic equations have how many solutions?

2


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.


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.


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.


Which of the following systems of equations has no solution?

If they are quadratic equations then if their discriminant is less than zero then they have no solutions

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