2023年8月17日 · Calculator determines whether the discriminant \( (b^2 - 4ac) \) is less than, greater than or equal to 0. When \( b^2 - 4ac = 0 \) there is one real root. When \( b^2 - 4ac > 0 \) there are two real roots.

In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Other ways of solving quadratic equations, such as completing the square, yield the same solutions.

b 2 - 4ac. The discriminant tells us how many solutions the quadratic has. In addition, notice the ± symbol. This means that when the discriminant is positive, the quadratic will have two solutions - one where you add the square root of the discriminant, and one where you subtract it. Below is an example of using the quadratic formula: Example

Quadratic Formula: x = −b ± √(b 2 − 4ac) 2a; When the Discriminant (b 2 −4ac) is: positive, there are 2 real solutions; zero, there is one real solution; negative, there are 2 complex solutions

2024年5月15日 · x = (-B ± √Δ)/2A. where: Δ = B² – 4AC; Using this formula, you can find the solutions to any quadratic equation. Note that there are three possible options for obtaining a result: The quadratic equation has two unique roots when Δ > 0.

The discriminant formula is Δ = b 2 – 4ac, where a is the coefficient of 𝑥 2, b is the coefficient of 𝑥 and c is the constant term of a quadratic. For example, calculate the discriminant of y = 𝑥 2 + 5𝑥 + 2.

One of the easiest ways to find the roots of a quadratic equation is to apply the quadratic formula. Quadratic formula: Here, b2 – 4ac is called the discriminant and is denoted by D.

5 天之前 · The quadratic formula, is of the form x = \frac { - b \pm \sqrt { b^2 - 4ac } } { 2a} . x = 2a−b± b2−4ac. It is also known as Shreedhara Acharya's formula, named after the ancient Indian mathematician who derived it.

For any quadratic equation \displaystyle {a} {x}^ {2}+ {b} {x}+ {c}= {0} ax2 + bx +c = 0, the solutions for x can be found by using the quadratic formula: The expression under the square root, \displaystyle {b}^ {2}- {4} {a} {c} b2 − 4ac, can tell us how many roots we'll get.

Our quadratic equation calculator can solve quadratic equations with real or complex roots. It will calculate the discriminant D=(b 2-4ac) and determine whether it is equal to, greater than, or less than zero.