How do you find the discriminant of two equations?

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.

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

Terms in this set (7) Which equation has the solutions? What is the discriminant of 9×2 + 2 = 10x? If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation? The discriminant is 0.

What is discriminant in math?

discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.

What is discriminant in math example?

Example: Find the discriminant of the quadratic equation 2×2 – 3x + 8 = 0. Comparing the equation with ax2 + bx + c = 0, we get a = 2, b = -3, and c = 8. So the discriminant is, Δ OR D = b2 − 4ac = (-3)2 – 4(2)(8) = 9 – 64 = -55.

What is the discriminant of 76?

The discriminant is 76, which is positive. This means that there are two real solutions.

What is a discriminant in Algebra 2?

Why do we find the discriminant?

In a quadratic equation, the discriminant helps tell you the number of real solutions to a quadratic equation. The expression used to find the discriminant is the expression located under the radical in the quadratic formula!

What is a discriminant in math class 10?

Maths formulas for class 8. Maths formulas for class 9. Maths formulas for class 10. Maths formulas for class 11. Maths formulas for class 12.

Which of the following is the value of the discriminant of the quadratic equation 2×2 3x 5 0?

Summary: The discriminant of the quadratic equation 2×2 + 3x – 5 = 0 is 49.

How many solutions are there if the discriminant is positive?

two
A positive discriminant indicates that the quadratic has two distinct real number solutions.

What is the standard discriminant form for the quadratic equation ax2+bx+c=0?

The standard discriminant form for the quadratic equation ax 2 + bx + c = 0 is. Discriminant, D = b2 – 4ac. Where. a is the coefficient of x 2. b is the coefficient of x. c is a constant term.

How to use the discriminant calculator?

The procedure to use the discriminant calculator is as follows: 1 Step 1: Enter the coefficient values such as “a”, “b” and “c” in the given input fields 2 Step 2: Now click the button “Solve” to get the output 3 Step 3: The discriminant value will be displayed in the output field More

How to find the discriminant of a polynomial equation?

Step 1: Enter the coefficient values such as “a”, “b” and “c” in the given input fields A discriminant is a function of the coefficients of a polynomial equation that expresses the nature of the roots of the given quadratic equation.

What is the discriminant value?

Discriminant value reveals the nature of the roots of the quadratic equation. The roots of the quadratic equation may be either real or complex. It helps to determine the solution of an equation. How to determine the nature of roots using the discriminant value? A quadratic equation can have different types of roots.