June 14, 2024

What is it and how is it calculated

2 min read
What is it and how is it calculated

For some people, mathematics may be the most difficult subject to understand and study. But it is present in our daily life, whatever the situation. Knowing how to apply formulas will make you able to solve many questions that can be seen in exams Competition Audience (Bhaskara formula).

So, in this article we have prepared everything you need to know to use the Bhaskara formula.

What is the Bhaskara formula?

The name Bhaskara was given to this concept in honor of an Indian mathematician named Bhaskara Acharya. The purpose of this formula is to find the roots of the quadratic equation from its coefficients.

What are second degree equations?

These are equations in which polynomial unknowns are squared (at least one will be raised)

In the following way:

Quadratic ordinary equation a, b, c are known numbers of the equation which are the coefficients.

Example:

a = 1, b = 2 ec = 3

The letter x is unknown.

Importance: An incomplete quadratic equation is when b or c (or both) is represented by the number 0.

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How to apply the Bhaskara formula?

Now that we know what a quadratic equation is, let’s understand and use the Bhaskara method, which is expressed as:

Q: A variable is called an unknown

A: square factor

b: linear modulus

C: constant coefficient

It may seem complicated, but it isn’t! Let’s understand step by step.

Find the difference between the equation:

The first step is to find the characteristic of the expression. It is characterized by the sum inside the root. sentence b²-4.ac

Then it is necessary to perform the replacement using the following formula:

What is this symbol Δ?

This symbol is called delta, which represents the result of the equation of the root (distinct value).

  • If delta is greater than zero, the equation will have two distinct real values;
  • If delta is zero, then the equation will have only one real value or two equal results;
  • If the delta is less than zero, then the equation has no real values. Follow Favorite

Δ> 0 → The equation will have two roots;

Δ = 0 → the equation will have a root;

Δ < 0 → The equation will have no real roots.

Delta Calculation:

Let’s practice! To calculate the numerical value of Δ, simply substitute the coefficients of the quadratic equation into the characteristic formula and perform the indicated calculations. Let’s calculate for example this question:

4x² + 2x – 6 = 0 (a = 4; b = 2; c = – 6)

then :

Substitution formula for Baskara:

The last step:

Find the value of the roots

Roots: 1 and -3/2

You think it’s not as complicated as you imagined it? Mathematics is a subject that many runners dread, but when you understand it, it is pure practice.

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