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What else can I help you with?
Where the given equations are not linear?
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
What form is the solving for the roots of quadratic equations?
Using the quadratic equation formula or completing the square
Why are Quadratic equations which are expressed in the form of ax2 plus bx plus c 0 where a does not equal 0 may have how many solutions?
Why are Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does not equal 0,
Are quadratic equations algebra?
Yes, quadratic equations are a part of algebra. They are polynomial equations of the form ( ax^2 + bx + c = 0 ), where ( a ), ( b ), and ( c ) are constants, and ( a \neq 0 ). Quadratic equations can be solved using various methods, including factoring, completing the square, or applying the quadratic formula. They are fundamental in algebra and have applications in various fields, including physics and engineering.
What is the quadratic formula used for today?
The quadratic formula is used today to find the solutions to quadratic equations, which are equations of the form ax^2 + bx + c = 0. By using the quadratic formula, we can determine the values of x that satisfy the quadratic equation and represent the points where the graph of the equation intersects the x-axis.
Why does quadratic equation called quadratic equation?
Quadratic equations are called quadratic because quadratus is Latin for ''square'';in the leading term the variable is squared. also...it is form of ax^2+bx+c=0
What is the difference between linear and quadratic equations?
A linear equation has the form of mx + b, while a quadratic equation's form is ax2+bx+c. Also, a linear equation's graph forms a line, while a quadratic equation's graph forms a parabola.
How do you simplify quadratic equations?
You can combine equivalent terms. You should strive to put the equation in the form ax2 + bx + c = 0. Once it is in this standard form, you can apply the quadratic formula, or some other method, to solve it.
Who found quadratic equation?
The Babylonians, as early as 1800 BC (displayed on Old Babylonian clay tablets) could solve a pair of simultaneous equations of the form: : which are equivalent to the equation:[1] : The original pair of equations were solved as follows: # Form # Form # Form # Form # Find by inspection of the values in (1) and (4).[2] In the Sulba Sutras in ancient India circa 8th century BCE quadratic equations of the form ax2 = c and ax2 + bx = c were explored using geometric methods. Babylonian mathematicians from circa 400 BCE and Chinese mathematicians from circa 200 BCE used the method of completing the square to solve quadratic equations with positive roots, but did not have a general formula. Euclid, the Greek mathematician, produced a more abstract geometrical method around 300 BCE. In 628 CE, Brahmagupta gave the first explicit (although still not completely general) solution of the quadratic equation: : " To the absolute number multiplied by four times the [coefficient of the] square, add the square of the [coefficient of the] middle term; the square root of the same, less the [coefficient of the] middle term, being divided by twice the [coefficient of the] square is the value. (Brahmasphutasiddhanta (Colebrook translation, 1817, page 346)[2] " This is equivalent to: :The Bakhshali Manuscript dated to have been written in India in the 7th century CE contained an algebraic formula for solving quadratic equations, as well as quadratic indeterminate equations (originally of type ax/c = y). Mohammad bin Musa Al-kwarismi (Persia, 9th century) developed a set of formulae that worked for positive solutions. Abraham bar Hiyya Ha-Nasi (also known by the Latin name Savasorda) introduced the complete solution to Europe in his book Liber embadorum in the 12th century. Bhāskara II (1114-1185), an Indian mathematician-astronomer, gave the first general solution to the quadratic equation with two roots.[3] The writing of the Chinese mathematician Yang Hui (1238-1298 AD) represents the first in which quadratic equations with negative coefficients of 'x' appear, although he attributes this to the earlier Liu Yi. The Babylonians, as early as 1800 BC (displayed on Old Babylonian clay tablets) could solve a pair of simultaneous equations of the form: : which are equivalent to the equation:[1] : The original pair of equations were solved as follows: # Form # Form # Form # Form # Find by inspection of the values in (1) and (4).[2] In the Sulba Sutras in ancient India circa 8th century BCE quadratic equations of the form ax2 = c and ax2 + bx = c were explored using geometric methods. Babylonian mathematicians from circa 400 BCE and Chinese mathematicians from circa 200 BCE used the method of completing the square to solve quadratic equations with positive roots, but did not have a general formula. Euclid, the Greek mathematician, produced a more abstract geometrical method around 300 BCE. In 628 CE, Brahmagupta gave the first explicit (although still not completely general) solution of the quadratic equation: : " To the absolute number multiplied by four times the [coefficient of the] square, add the square of the [coefficient of the] middle term; the square root of the same, less the [coefficient of the] middle term, being divided by twice the [coefficient of the] square is the value. (Brahmasphutasiddhanta (Colebrook translation, 1817, page 346)[2] " This is equivalent to: :The Bakhshali Manuscript dated to have been written in India in the 7th century CE contained an algebraic formula for solving quadratic equations, as well as quadratic indeterminate equations (originally of type ax/c = y). Mohammad bin Musa Al-kwarismi (Persia, 9th century) developed a set of formulae that worked for positive solutions. Abraham bar Hiyya Ha-Nasi (also known by the Latin name Savasorda) introduced the complete solution to Europe in his book Liber embadorum in the 12th century. Bhāskara II (1114-1185), an Indian mathematician-astronomer, gave the first general solution to the quadratic equation with two roots.[3] The writing of the Chinese mathematician Yang Hui (1238-1298 AD) represents the first in which quadratic equations with negative coefficients of 'x' appear, although he attributes this to the earlier Liu Yi.
The quadratic formula cannot be used to solve an equation if a term in the equation has a degree higher than what number?
The quadratic formula can only be used to solve equations of degree 2, which means it is applicable specifically to quadratic equations of the form ( ax^2 + bx + c = 0 ). If a term in the equation has a degree higher than 2, such as in cubic or quartic equations, the quadratic formula is not applicable. In those cases, other methods or formulas must be used to find the solutions.
When solving a quadratic equation by factoring what method is used?
Start with a quadratic equation in the form � � 2 � � � = 0 ax 2 +bx+c=0, where � a, � b, and � c are constants, and � a is not equal to zero ( � ≠ 0 a =0).
What are the standard and general form of quadratic equation?
The standard form of a quadratic equation is expressed as ( ax^2 + bx + c = 0 ), where ( a ), ( b ), and ( c ) are constants, and ( a \neq 0 ). The general form is similar but often written as ( f(x) = ax^2 + bx + c ) to represent a quadratic function. Both forms highlight the parabolic nature of quadratic equations, with the standard form emphasizing the equation set to zero.
