1) Use your virtual Algebra tiles. Make a square using one or more of each of the following types of tiles.
x2-tile
x-tile
1-tile
Describe the area of your square using an algebraic expression.
2-Al-khwarizini, born in Baghdad in 780, is considered to be one of the foremost mathematicians of all time. He wrote algebra in sentences instead of using equation, and he explained the work with geometric square and 8 roots are equal to 35 units "He would solve the problem using a square with each side being equal to x and the middle being equal to x^2.
The area of a shaded portion is x^2 +8x or 35. Four squares each with an area of 4 are used to complete the square.Use the information about Al-Khwarizmi to explain how ancient mathematicians used squares to solve algebraic equations.
Include an explanation of Al-Khwarizmi's drawings for x^2 + 8x = 35 and a step-by-step algebraic solution with justification for each step of the equation.