A quadratic equation is one that can be written as y=Ax^2+Bx+C. The solutions are the values of x that make y=0. If an equation has solutions, say x=M and x=N, then Ax^2+Bx+C=(x-M)(x-N).
For example:
y=x^2-5x+6
So we want to find what values of x make the equation true:
0=x^2-5x+6
This happens at x=2, when
y=(2)^2-5*(2)+6
=4-10+6
=0
and at x=3, when
y=(3)^2-5*(3)+6
=9-15+6
=0
So the solutions are x=2 and x=3, and the equation can be written as y=(x-2)(x-3).
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
It is a quadratic equation that normally has two solutions
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
A quadratic equation can have either two real solutions or no real solutions.
-- three solutions -- puppies
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
The quadratic has no real solutions.
That the discriminant of the quadratic equation must be greater or equal to zero for it to have solutions. If the discriminant is less than zero then the quadratic equation will have no solutions.
A quadratic equation normally has 2 solutions and can be solved by using the quadratic equation formula.
Roots, zeroes, and x values are 3 other names for solutions of a quadratic equation.
the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.
It is a quadratic equation that normally has two solutions
If the discriminant of the quadratic equation is equal or greater than zero it will have 2 solutions if it is less than zero then there are no solutions.
A quadratic equation can have either two real solutions or no real solutions.
The two solutions are coincident.
2
-- three solutions -- puppies