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The determines how many solutions a quadratic equation will have and whether they are real or imaginary?
discriminant
The discriminant determines how many a quadratic equation will have and whether they are real or imaginary?
solutions
If the discriminant of a quadratic equation is -4 how many solutions does the equation have?
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
How many real solutions does a quadratic equation have if its discriminant is negative?
The quadratic has no real solutions.
What statements must be true of an equation before you can use the quadratic formula to find the 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.
What type of equation is b2-4ac?
6
Why does the discriminant determine the number and type of the solutions for a quadratic equation?
A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.
When will an equation have no solution?
If the discriminant of a quadratic equation is less than zero then it has no 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.
The discriminant determines how many what a quadratic equation will have whether they are real or imaginary?
roots
How do you find quadratic equation with only 2 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 positive discriminant means the quadratic equation will have how many solutions?
Two distinct real solutions.
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