Math
Discriminant Formula with Problem Solution & Solved Example
In algebra, discriminant is the common name given to the expression that appears under the square toot sign in a quadratic formula. The calculation of discriminant for polynomial of a function and its efficient generally given by the symbol delta.
It will give you the complete information of the nature of roots for any quadratic equation where a, b, and c are the rational numbers. The real roots for xintercept can be quickly shown with a quadratic equation. Further, it is also used to check either roots of a quadratic equation are real or imaginary.
For example – The Discriminant Formula in the quadratic equation ax2 + bx + c is –
\[\LARGE \bigtriangleup =b^{2}4ac\]
For a quadratic equation, the discriminant helps you to identify the total number of real solutions for a quadratic equation. This is easy to calculate with the right formula and technique. The discriminant is the part inside the square root, so it would take only a second to find what is hidden inside the square root.
Before you calculate the discriminant value for a quadratic equation you should convert it to the standard form first where one side will contain the variable or constants and other side is marked as zero.
Once it has converted to the standard form then just plug the values into formula and find the discriminant for quadratic equation. Keep in mind that it will tell you the total number of solution but it cannot explain to you what would be the solution of equation.
Discriminant Formula Solved Example
Solution:
The formula for discriminant is,
Δ = b^{2} – 4ac
Δ = (2)^{2 }– 4(1)(3)
Δ = 4 – 12
Δ = 8

Math2 months ago
Average Rate Of Change Formula Made Simple

Math2 years ago
Surface Area of a Triangular Prism Formula & Volume of a Triangular

Math2 months ago
Math Formulas Made Simple: A StepbyStep Guide

Math2 years ago
Percentage Formulas  How to Calculate Percentages of a Number?

Math1 year ago
Triangular Pyramid Formula  Volume & Surface Area of a Triangular Pyramid

Math2 years ago
What is Integration? List of Integration by Parts Formulas

Math2 months ago
Algebra Formulas and Expression with Example

Math2 years ago
List of Pyramid Formula – Surface Area, Volume of Pyramid