## What are the examples of discriminant?

Examples. In our example, our quadratic equation gives us 1 for our letter a, 5 for letter b, and 4 for letter c. We take these values and plug them into their appropriate places in the discriminant formula, and we’ll find that our discriminant equals 9, a positive number.

What are the 3 types of discriminant?

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation.

• A positive discriminant indicates that the quadratic has two distinct real number solutions.
• A discriminant of zero indicates that the quadratic has a repeated real number solution.

What is the discriminant of 3x 2 10x =- 2?

The discriminant of is 76.

### How do you find the discriminant of two variables?

In two variables, the general quadratic equation is ax2 + bxy + cy2 + dx + ey + f = 0, in which a, b, c, d, e, and f are arbitrary constants and a, c ≠ 0. The discriminant (symbolized by the Greek letter delta, Δ) and the invariant (b2 − 4ac) together provide information as to the shape of the curve.

What is a discriminant in standard form?

The discriminant is the expression b2 – 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. Here’s how the discriminant works.

Is the discriminant negative or positive?

The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.

## What are real and complex solutions?

You can use a graph to check the number of real solutions of an equation. two solutions given by the Quadratic Formula. 1) If the discriminant is less than zero, the equation has two complex solution(s). 2) If the discriminant is equal to zero, the equation has one repeated real solution(s).

What is the discriminant of 9×2 +2 10x?

We do this by subtracting 10x both sides (to get it on the other side).. 9x^2 + 2 = 10x 9x^2 – 10x + 2 = 10x – 10x 9x^2 – 10x + 2 = 0 Now the discriminant is: b^2 – 4ac The quadratic equation is Ax^2 + Bx + C = 0 Here, A = 9, B = -10 and C = 2 so plug them in…

Why does a discriminant of zero give you exactly one real zero?

When the discriminant is equal to 0, there is exactly one real root. When the discriminant is less than zero, there are no real roots, but there are exactly two distinct imaginary roots. In this case, there is exactly one real root. This value of x is the one distinct real root of the given equation.

### Which is an example of an onomatopoeia letter?

Common Onomatopoeia Words & Letter Combinations 1 bloop 2 splash 3 spray 4 sprinkle 5 squirt 6 dribble 7 drip 8 drizzle

Which is an example of a negative discriminant?

The discriminant can be either positive or negative or zero. Here is a discriminant example. The discriminant of the given equation is: Thus, the discriminant of the given equation is: The roots of a quadratic equation ax2 +bx+c = 0 a x 2 + b x + c = 0 are the values of x x that satisfy the equation.

When do you use the discriminant in math?

The discriminant in Math is used to find the nature of the roots of a quadratic equation. The value of the discriminant will determine if the roots of the quadratic equation are real or imaginary, equal or unequal. The discriminant of a polynomial is a function of its coefficients which gives an idea about the nature of its roots.

## How is the discriminant of a polynomial determined?

The discriminant of a polynomial of degree n is homogeneous of degree 2n − 2 in the coefficients. The discriminant value helps to determine the nature of the roots of the quadratic equation. The relationship between the discriminant value and the nature of roots are as follows: