How To Find The Discriminant And Number Of Solutions

Using the discriminant to predict the number of solutions of a quadratic equation.

How to find the discriminant and number of solutions. In this tutorial get introduced to the discriminant of a quadratic equation. What is the discriminant. Do you remember that the solutions of a quadratic equation isare located where the graph intersects the x axis. The discriminant provides critical information regarding the number of the solutions of any quadratic equation prior to solving to find the solutions.

You can use the discriminant b2 4ac to find the number of solutions of a quadratic equation in the standard form ax2 bx c 0. When the discriminant is zero the equation has a root double root when the calculation of the discriminant is a positive number the equation has two distinct roots. There is another connection between the solutions from the quadratic formula and the graph of the parabola. You can tell how many x intercepts youre going to have from the value inside the square rootthe argument that is the contents of the square root being the expression b 2 4ac is called the discriminant because by using its value you can discriminate between that is be.

Can be defined either in terms of the quotient of the resultant or in terms of the roots. Use the discriminant b2 4ac to determine the number of solutions of a quadratic equation. In terms of the roots the discriminant is equal to. A positive value indicates two solutions zero indicates one solution and a negative value indicates no real solution.

In a quadratic equation the discriminant helps tell you the number of real solutions to a quadratic equation. Find the discriminant to determine the nature and number of solutions. Color red b2 4color magenta acolor blue c color red 02 4color magenta 1color blue 25 100. To find les the roots of an equation it is possible to use the equation solver.

The discriminant for a polynomial of degree n. Using the discriminant to predict the number of solutions of a quadratic equation. The expression used to find the discriminant is the expression located under the radical in the quadratic formula. These points are also known as zeroes roots solutions and x intercepts.

Y x2 25. B2 4ac 144 449 144 144 0 since the discriminant is 0 we have one real solution of multiplicity 2.