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Answer It is due to the propensity of scholars of all types to label things of profound importance with words or modifications of words of a long dead language. In this case "quadratic" comes from the Latin "quadratus", meaning square.
This is in fact the area of a square of a side "x" is x^2, so every equation having variable with exponent 2 become quadratic equation.
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What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
Why quadratic equation is called quadratic?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is Where x represents a variable, and a, b, and c, constants, with a ≠ 0. (If a = 0, the equation becomes a linear equation.) The constants a, b, and c, are called respectively, the quadratic coefficient, the linear coefficient and the constant term or free term. The term "quadratic" comes from quadratus, which is the Latin word for "square." Quadratic equations can be solved by factoring, completing the square, graphing, Newton's method, and using the quadratic formula (given below). One common use of quadratic equations is computing trajectories in projectile motion. Because it is in the form of ax^2+bx+c=0
True or false A second-degree polynomial is a quadratic polynomial?
true.
Real life application of a quadratic equations?
Quadratic equations are polynomial equations of the second degree, meaning they are equations containing a squared variable, as such they are very useful for calculating areas.Say you own a small, but oddly shaped garden and wish to buy grass seed or turf to cover it. You know the lengths of the edges of the garden but you don't know the area and wish to calculate how much it is going to cost you to turf it.Say grass seed costs §5 per square unit.Your garden is a right angled triangle with lengths x, y perpendicular to each other with a square of edge length x attached to it.The cost of seeding the garden is:Cost of garden in § = (xy/2 + x^2)5This is a quadratic equation
What is the difference between quadratic function and quadratic formula?
A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16. The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function. In the form ax2+bx+c, the Quadratic Formula looks like this: x=-b±√b2-4ac _________ 2a The plus-minus means that there can 2 solutions.
