How to find the discriminant of a quadratic equation?
The discriminant of a quadratic equation is the square root of the sum of the squares of the coefficients of the equation. If a quadratic equation has no solutions, then its discriminant is negative. If it has two solutions, then it has a negative discriminant and the roots are complex conjugates. If it has no solutions, then it has a positive discriminant and the roots are distinct.
How to find the discriminant of a quadratic equation with complex roots?
You may have come across the discriminant of a quadratic equation with complex roots. If there are two complex roots, the discriminant is the product of the two roots. If there are four complex roots, the discriminant is the product of the roots of the biquadratic whose roots are the squares of the roots of the original quadratic.
How to
The discriminant of a quadratic equation is a number that tells you whether the roots of the equation are real or imaginary. It is usually denoted by D and is calculated as follows: D = b2 – 4ac. It is a positive number if the roots are imaginary, a negative number if the roots are real and zero if the quadratic equation has two equal roots. If D is positive, the roots are complex conjugate. If D is negative, the roots are
How to find the discriminant of a quadratic equation with variables?
The discriminant of a quadratic equation with variables is the square of the coefficient of the quadratic term. The discriminant can help you solve the equation, and it acts as the factor that determines whether the equation has solutions. If the discriminant is positive, then the equation will have two solutions and no solutions if the discriminant is negative.
How
You can do this in most educational software programs. When you have two roots, plug them in and the discriminant will tell you if you have a real solution. If you do, you will find the value of the discriminant and you will know it is the square root of the product of the roots. If you don’t have two distinct roots, the discriminant will be zero. There are still two possible solutions, but they will have no real values.