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https://byjus.com/discriminant-calculator/
The discriminant calculator is a free online tool that gives the discriminant value for the given coefficients of a quadratic equation. BYJU’S online discriminant calculator tool makes the calculations faster and easier, where it displays the value in a fraction of seconds.
https://www.vedantu.com/maths/discriminant
The relationship between discriminant and roots can be understood from the following cases –. Case 1: b2 − 4ac is greater than 0. Here, a, b, c = real numbers. a ≠ 0. discriminant = positive. Then, the roots of the quadratic equation are real and unequal. Case 2: b2 − 4ac is equal to 0.
https://study.com/learn/lesson/what-is-the-discriminant.html
What is the Discriminant. In mathematics, a quadratic equation is an equation of the form {eq}f(x)=ax^2+bx+c {/eq}. In this lesson, only quadratic equations will be …
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/a/discriminant-review
What is the discriminant? The is the part of the quadratic formula under the square root. The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions.
https://www.embibe.com/exams/discriminant-formula/
Find the discriminant of quadratic equation x 2 + 7 x – 60 = 0, and hence find the nature of its roots. Ans: From the given equation, we get a = 1, b = 7, c = − 60. Discriminant b 2 – 4 a c = ( 7 2) – 4 × 1 × ( – 60) = 49 + 240. = 289 > 0. So, for the given quadratic equation, two real roots exist.
https://www.solumaths.com/en/math-apps/calc-online/discriminant
The discriminant of the quadratic equation following `ax^2+bx+c=0` is equal to `b^2-4ac`. The notation used for the discriminant is `Delta` (delta), so we have `Delta=b^2-4ac`. The calculator has a feature which allows the calculation of the discriminant online of quadratic equations.
https://www.bbc.co.uk/bitesize/guides/zcwhjty/revision/1
The discriminant is \({b^2} - 4ac\), which comes from the quadratic formula and we can use this to find the nature of the roots. Roots can occur in a parabola in 3 different ways as shown in the ...
https://quadraticformulacalculator.net/calculator/discriminant-calculator/
Discriminant Calculator. The Discriminant tells about the nature of the roots of quadratic equation. In quadratic equation formula, we have b2−4ac b 2 − 4 a c under root, this is discriminant of quadratic equations. if b2 −4ac = 0 b 2 − 4 a c = 0 , then the roots of quadratic equations are real and equal. if b2 −4ac < 0 b 2 − 4 a c ...
https://www.cuemath.com/algebra/discriminant/
Discriminant of a polynomial in math is a function of the coefficients of the polynomial. It is helpful in determining what type of solutions a polynomial equation has without actually finding them. i.e., it discriminates the solutions of the equation (as equal and unequal; real and nonreal) and hence the name "discriminant". It is usually denoted by Δ or D.
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