How to determine the discriminant of an equation?
The discriminant of an equation is the square of the coefficient of the second degree term. It is also called the discriminant of a trinomial. To find the discriminant of a trinomial just multiply the sum of the cubes of the coefficients by the common denominator.
How to determine the discriminant of a linear equation?
To find the discriminant of a linear equation, you need to solve the equation for the coefficient of the highest degree term. If the equation contains two terms, the discriminant is the square of the coefficient of the highest-order term; if the equation contains three terms, the discriminant is the cube of the coefficient of the highest-order term. The discriminant isn't always expressible as a simple number; sometimes it's a polynomial in the variable or its derivatives. If you
How to determine the discriminant of a quadratic equation
The discriminant of a quadratic equation is a measure of the size of the roots of the equation. It tells you if the roots are imaginary, real or complex. It is equal to the square root of the product of the roots if it is a positive number, or it can be negative. If the discriminant is zero, the roots are the same number, thus the equation has no solutions. This is known as a degenerate quadratic. If the discriminant is itself the
How to find the discriminant of a quadratic equation?
To determine the discriminant of an equation, you need to isolate the square root of the equation’s coefficient. Simply take the square root of the coefficient and then subtract it from the square of the other coefficient and simplify the equation to get the discriminant.
How to determine the discriminant of a quadratic equation?
The discriminant is the coefficient of the square term in a quadratic equation. If there is no square term in a quadratic equation, the discriminant is zero. If the discriminant is zero, the equation has two solutions. If the discriminant is positive, the equation has two distinct solutions. If the discriminant is negative, the equation has no solutions.