What is example of discriminant?

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 the discriminant of the quadratic equation 3 4x =- 6×2?

– 56
The given quadratic equation is 3 – 4x = -6×2. The standard quadratic equation is the form ax2 + bx + c= 0. Therefore, the discriminant of the quadratic equation 3 – 4x = -6×2 is – 56.

What is the discriminant of 76?

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

What is the discriminant of x2 4x 21 0?

First rearrange the equation into standard form, x2−4x−21=0 . The discriminant is then (−4)2−4⋅1⋅(−21)=16+84=100 .

What is a discriminant in math class 10?

Discriminant. For a quadratic equation of the form ax2+bx+c=0, the expression b2−4ac is called the discriminant, (denoted by D), of the quadratic equation. The discriminant determines the nature of roots of the quadratic equation based on the coefficients of the quadratic equation.

Which equation shows the quadratic formula correctly to solve 7x?

Therefore, the quadratic formula used correctly to solve 7×2 = 9 + x for x is x=1±√25314 x = 1 ± 253 14 .

What is the discriminant of the quadratic equation 0 =- x2 4x 2?

8
Summary: The discriminant of the quadratic equation -x2 + 4x – 2 = 0 is 8.

What is discriminant value?

Discriminant Definition A discriminant is a function of the coefficients of a polynomial equation that expresses the nature of the roots of the given quadratic equation. When the discriminant value is positive, we get two real solutions. When the discriminant value is zero, we get one real solution.