Quadratic equations history

Quadratic equations Quadratic equations history

https://www.researchgate.net/publication/324574092_Developmental_Process_of_Quadratic_Equations_from_Past_to_Present_and_Reflections_on_Teaching-Learning

the square root method, completing square, quadratic formula and factorization

“The area of a square of 100 is equal to that of two smaller squares; the side of one square is ¾ of the other. What are the sides of two unknown squares?”

$10^2 = x^2 + (\frac{3x}{4})^2$

$100 = x^2 + \frac{9x^2}{16}$

$100 = \frac{25x^2}{16}$

$\frac{25x^2}{16} = 100$

$x^2 = \frac{1600}{25}$

$x^2 = 64$

$sqrt{x^2} = pmsqrt{64}$

$x = pm8$

If quadratic equation involved a square and constant, the square was positioned on one side and the constant on the other side. Later, the roots were found by taking the square roots of both sides.

$x^2 - 4= 0$