Find The Discriminant Of The Quadratic Equation

2 2 4 2 4 2 2 4 2 4.

When the discriminant value is zero we get one real solution. Roots can occur in a parabola in 3 different ways as shown in the. The discriminant for any quadratic equation of the form y red a x 2 blue bx color green c is found by the following formula and it provides critical information regarding the nature of the roots solutions of any quadratic equation. The equations can discriminate between the possible types of answer such as.

2x2 2x 4 0 2 x 2 2 x 4 0. When the discriminant value is negative we get a pair of complex solutions. C is a constant term. Then state how many roots it has and whether they are real or imaginary.

For a quadratic equation of the form a x 2 bx c 0 a ne 0 if b 2 4ac 0 the equation has two solutions. The discriminant of a quadratic is the expression inside the radical of the quadratic formula. Substitute the coefficients from the equation into the formula b 2 4ac. Discriminant d b 2 4ac.

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Put the quadratic equation in standard form. The discriminant is b 2 4ac which comes from the quadratic formula and we can use this to find the nature of the roots. Use the formula b 2 4ac to find the discriminant of the following equation. The value of the discriminant indicates what kind of solutions that particular quadratic equation possesses.

The standard discriminant form for the quadratic equation ax 2 bx c 0 is. In the case of a quadratic equation ax2 bx c 0 the discriminant is b2 4ac. 3x 2 6x 3 0. If b 2 4ac 0 the equation has no real solutions.

Discriminant in mathematics a parameter of an object or system calculated as an aid to its classification or solution. For a cubic equation x3 ax2 bx c 0 the discriminant is a2b2 18abc 4b3 4a3c 27c2. B2 4 ac b 2 4 a c substitute in the values of a a b b and c c. To calculate the discriminant of a quadratic equation put the equation in standard form.

If b 2 4ac 0 the equation has one solution. A is the coefficient of x 2. When the discriminant value is positive we get two real solutions.