What is theory of quadratic equation?

Theory of Quadratic Equation Formulae. The theory of quadratic equation formulae will help us to solve different types of problems on quadratic equation. The general form of a quadratic equation is ax2 + bx + c = 0 where a, b, c are real numbers (constants) and a ≠ 0, while b and c may be zero.

Also, what is the meaning of quadratic formula?

Definition of quadratic formula. : a formula that gives the solutions of the general quadratic equation ax² + bx + c = 0 and that is usually written in the form x = (-b ± √(b² − 4ac))/(2a)

Beside above, what is the history of the quadratic formula? At the end of the 16th Century the mathematical notation and symbolism was introduced by amateur-mathematician François Viète, in France. In 1637, when René Descartes published La Géométrie, modern Mathematics was born, and the quadratic formula has adopted the form we know today.

Similarly, what is the purpose of the quadratic equation?

In elementary algebra, the quadratic formula is a formula that provides the solution(s) to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring (direct factoring, grouping, AC method), completing the square, graphing and others.

Who invented quadratic equation?

The Babylonians came up with a technique called “completing the square” to solve common problems with areas by 400 BC. The first purely mathematical try to come up with a quadratic formula was done by Pythagoras in 500 BC. Euclid did the same thing in Alexandria, Egypt. Euclid used a purely geometric method.

24 Related Question Answers Found

What is vertex form?

The vertex form of a quadratic is given by. y = a(x – h)² + k, where (h, k) is the vertex. The "a" in the vertex form is the same "a" as. in y = ax² + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down.

What is the discriminant in math definition?

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 makes a problem quadratic?

In mathematics, a quadratic is a type of problem that deals with a variable multiplied by itself — an operation known as squaring. This language derives from the area of a square being its side length multiplied by itself. The word "quadratic" comes from quadratum, the Latin word for square.

How are quadratic equations used in real life?

Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.

Why do we need equations?

An equation is the mathematical representation of those two things which are equal, one on each side of an 'equals' sign. Equations are useful to solve our daily life problem. All chips, which we use in these machines based on mathematical equations and algorithms. We use the internet to look up the information.

How did quadratic get its name?

The origin of the term "quadratic" is Latin. It is derived from quadratus which is the past participle of quadrare which means "to make square." The leading term in the quadratic equation is squared so its use is consistent with it.

What is the meaning of quadratic equation?

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.

What are the roots of an equation?

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax² + bx + c = 0.

Who invented math?

Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

What is a quadratic graph?

Graphs. A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Who invented zero?

Brahmagupta

How many roots does an equation have?

A quadratic equation with real coefficients can have either one or two distinct real roots, or two distinct complex roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there are two distinct roots.

What grade level are quadratic equations?

Quadratics were introduced in 8th grade, but the quadratic equation was not introduced until 10th grade.

What is Sridharacharya rule?

Sridharacharya rule is a rule used to find roots of a quadratic equation. For any quadratic equation ax^2+bx+c=0. there exists two values of x. The respective values are: x=(-b+√(b^2–4ac))/2a.