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This calculator will give you the area bounded by the curve above the x-axis, the gradient the curve and where the __ value of the curve occurs.
In elementary algebra, a quadratic equation (from the Latin quadratus for "square") is any equation having the form ax^2+bx+c=0
where x represents an unknown, and a, b, and c are constants with a not equal to 0.
If a = 0, then the equation is linear, not quadratic.
The parameters [1] a, b, and c are called, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.
Geometric methods were used to solve quadratic equations in Babylonia, Egypt, Greece, China, and India. The Egyptian Berlin Papyrus, dating back to the Middle Kingdom (2050 BC to 1650 BC), contains the solution to a two-term quadratic equation. In the Indian Sulba Sutras, circa 8th century BC, quadratic equations of the form ax2 = c and ax2 + bx = c were explored using geometric methods. Babylonian mathematicians from circa 400 BC and Chinese mathematicians from circa 200 BC used geometric methods of dissection to solve quadratic equations with positive roots. Rules for quadratic equations were given in the The Nine Chapters on the Mathematical Art, a Chinese treatise on mathematics. These early geometric methods do not appear to have had a general formula. Euclid, the Greek mathematician, produced a more abstract geometrical method around 300 BC. Pythagoras and Euclid used a strictly geometric approach, and found a general procedure to solve the quadratic equation. In his work Arithmetica, the Greek mathematician Diophantus solved the quadratic equation, but giving only one root, even when both roots were positive.
In 628 AD, Brahmagupta, an Indian mathematician, gave the first explicit (although still not completely general) solution of the quadratic equation ax2 + bx = c as follows: "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."
Find the "Golden Ratio"!
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