# What is the discriminant of #5x^2-8x-3=0# and what does that mean?

##### 1 Answer

The discriminant of an equation tells the nature of the roots of a quadratic equation given that a,b and c are rational numbers.

#### Explanation:

The discriminant of a quadratic equation

The discriminant actually tells you the nature of the roots of a quadratic equation or in other words, the number of x-intercepts, associated with a quadratic equation.

Now we have an equation;

Now compare the above equation with quadratic equation

Hence the discriminant (D) is given by;

Therefore the discriminant of a given equation is 124.

Here the discriminant is greater than 0 i.e.

**Note:** If the discriminant is a perfect square, the two roots are rational numbers. If the discriminant is not a perfect square, the two roots are irrational numbers containing a radical.

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