9x+3x2=14+x-1 AND 2x2+x2+x=30
This can't be solved. There is no other side to the equation. If the problem stated y-18=32, then it could be solved and the answer would be y=50.
307
The constant could be any number.
Use the quadratic equation. If ax+bx+c=0 x=(-b±(b^2-4ac)^(1/2))/2a. You could also complete the square, factor,or graph the equation.
9x+3x2=14+x-1 AND 2x2+x2+x=30
Teachers can find many ways to teach students the quadratic equation. An activity could include having contests where students race to solve the equations in the fastest time.
Yes it is possible. The solutions for a quadratic equation are the points where the function's graph touch the x-axis. There could be 2 places to that even if the graph looks different.
One true purpose for which you could use a quadratic equation could be to figure the maximum use of crop planting in a field once you have the true area of the field figured. Quadratic equations can also be used to figure the area or the volume or the capacity of any unusually shaped object.
No, but they are symmetric with respect to a line parallel to the y-axis - which could be the y-axis itself.
Quadratic equation formula
When you give us a multiple choice question and don't include the choices, we feel sad.
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.
Commerce problems could be solved with trade
This type of experiment is common. For example, which of the elements of the new poultry feed produced the best outcome for the least cost? -- A common industrial task. This is solved by the use of simultaneous equations. The extreme example of a multi-variable experiment is in the cat-scan or similar measurement, where many thousand simultaneous equations are solved in a similar number of variables, to produce the end result. These numeric analyses could never be solved using human calculation power, for the analysis time would be too long. Only with the digital computer, and an algorithm for solving massive simultaneous equations, did this become possible.
Could the colonies labor problem have been solved without slavery?
In order for a system to have infinitely many solutions, it must contain an equation that could be solved by any set of variables. In simple terms, a two-variable system can only be solved through two distinct equations; however, if one of these equations becomes meaningless, or could be solved by any set of variables, the other equation becomes meaningless as well because any value of y could match a given value of x. In terms of linear algebra, or any set or matrices meant to represent a system, infinitely many solutions occur due to an all 0 row. After the system is reduced to row echelon form, an all 0 row indicates that all coefficients in a given equation are equal to 0, so it does not matter what the variables are. This means that the number of equations no longer equals the number of variables and it becomes impossible to solve through cancellation and back-substitution.