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Yes and sometimes the two solutions are equal

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Q: Do you agree that quadratic equations has at most two solutions?
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Most quadric equations have?

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


Could you ever have three solutions to a quadratic equation?

No. By definition, a quadratic equation can have at most two solutions. For a quadratic of the form ax^2 + bx + c, when the discriminant of a quadratic, b^2 - 4a*c is positive you have two distinct real solutions. As the discriminant becomes smaller, the two solutions move closer together. When the discriminant becomes zero, the two solutions coincide which may also be considered a quadratic with only one solution. When the discriminant is negative, there are no real solutions but there will be two complex solutions - that is those involving i = sqrt(-1).


How do you find solutions to quadratic eqations?

There are several ways to solve such equations: (1) Write the equation in the form polynomial = 0, and solve the left part (where I wrote "polynomial"). (2) Completing the square. (3) Use the quadratic formula. Method (3) is by far the most flexible, but in special cases methods (1) and (2) are faster to solve.


What is a system of linear equations in two variables?

They are a set of equations in two unknowns such that any term containing can contain at most one of the unknowns to the power 1. A system of linear equations can have no solutions, one solution or an infinite number of solutions.


What is the most challenging mathematics question in junior secondary?

How about that when given a quadratic equation what would you use to determine whether or not it has any solutions.