How to find the discriminant of an equation?
The discriminant of an equation is the square of the quantity that we get by multiplying the coefficients of the first-degree term. For example, the discriminant of the equation 2x2+3y2=5 is 25, and the discriminant of the equation 3x2−5y2=−1 is In other words, the discriminant tells us whether the equation has roots. If the discriminant equals zero, the equation has two solutions (roots), if the discriminant
How to find discriminant of a quadratic equation without calculator?
The discriminant of a quadratic equation is the square root of the coefficient of the square term, which in this case is 5. You can find the discriminant by substituting the value of the coefficient of the square term in the discriminant of the equation. Since we are solving the equation using the method of factoring, the discriminant will be the square root of the number obtained by multiplying the two numbers that we got from solving the factoring of the quadratic equation.
How to find the discriminant of a quadratic
If a quadratic has two roots (a total of two solutions), then the discriminant of the equation is 0. If the roots are imaginary, then the discriminant is negative. If the roots are real, then the discriminant is either positive, negative, or 0.
How to find discriminant of a quadratic equation?
Sometimes, the discriminant can be a perfect square, so you will need to find the square root of the discriminant. If the solutions for the equation form a line, you will need to solve an equation in the slope of that line, then square the result. To do the same for a parabola, you will need to use the vertex form of the equation and square the value. If the discriminant is negative, the solutions will form an imaginary line, so you will need to
How to find the discriminant of a quadratic equation with variables?
You can use the quadratic formula to solve a quadratic equation, but the discriminant of a quadratic equation is also often needed. The discriminant of a general quadratic equation with variables is calculated by multiplying the coefficient of the quadratic term by the square of the coefficient of the square term, and then adding or subtracting the product of the remaining two coefficients to it.