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Q: Use the discriminant to determine how many real number solutions the quadratic equation -4j to the second power plus 3j - 28 equals 0 has?

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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.

The discriminant is -439 and so there are no real solutions.

If the discriminant of a quadratic equation is less than zero then it has no solutions.

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.

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

Whether or not that there is a solution to a quadratic equation,

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.

Two distinct real solutions.

It will then have two equal real solutions

b^2 - 4ac, the discriminant will tell you that a quadratic equation may have one real solution( discriminant = 0 ) , two real solutions( discriminant > 0 ), or no real solutions( discriminant < 0 ).

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