discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.
What is a discriminant in simple terms?
The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.
What is the discriminant of 76?
The discriminant is 76, which is positive. This means that there are two real solutions.
How do you find the discriminant of a cubic equation?
Δ = b² – 4ac. If the discriminant Δ is zero, the equation has a double root, i.e. there is a unique x that makes the equation zero, and it counts twice as a root. If the discriminant is not zero, there are two distinct roots.
What is another word for discriminant?
In this page you can discover 12 synonyms, antonyms, idiomatic expressions, and related words for discriminant, like: univariate, , chi-square, real-valued, gcd, covariance, glm, variate, PARAFAC, parametric and cross-validation.
What is the discriminant of the quadratic equation 3 4x =- 6×2?
The discriminant of the quadratic equation 3 – 4x = -6×2 is -56.
What is the discriminant of 3x 2 10x =- 2?
The discriminant of is 76.
What is discriminant Class 10?
Discriminant. For a quadratic equation of the form ax2+bx+c=0, the expression b2−4ac is called the discriminant, (denoted by D), of the quadratic equation. The discriminant determines the nature of roots of the quadratic equation based on the coefficients of the quadratic equation.
What is the discriminant of 9×2 2 10?
Which equation has the solutions ? What is the discriminant of 9×2 + 2 = 10x? If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation? The discriminant is 0.
What does a discriminant of 0 mean?
If the discriminant is equal to 0, the quadratic equation has 1 real solution. If the discriminant is less than 0, the quadratic equation has 0 real solutions.
Which equation shows the quadratic formula correctly to solve 7x?
Therefore, the quadratic formula used correctly to solve 7×2 = 9 + x for x is x=1±√25314 x = 1 ± 253 14 .
How do you find the discriminant and nature of roots?
The discriminant is defined as Δ=b2−4ac. This is the expression under the square root in the quadratic formula. The discriminant determines the nature of the roots of a quadratic equation. The word ‘nature’ refers to the types of numbers the roots can be — namely real, rational, irrational or imaginary.
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