Question

If the root of equation (a ka square + b ka square )x ka square -2(ac+ bd)x+(c ka square+d ka square)=0 are equal prove that a÷b=c÷d

Answer 1

Answer:

Step-by-step explanation:

Students’ work in this Unit develops a fundamentally important relationship connecting geometry and algebra: the Pythagorean Theorem. The presentation of ideas in the Unit reflects the historical development of the concept of irrational numbers. The need for such numbers was recognized by early Greek mathematicians as they searched for ratios of integers to represent side lengths of squares with certain given areas, such as 2 square units. The square root of 2 is an irrational number, which means that it cannot be written as a ratio of two integers.Students find areas of plane figures drawn on dot grids. This activity reviews some concepts developed in the Grade 6 unit Covering and Surrounding. One common method for calculating the area of a figure is to subdivide it and add the areas of the component shapes. A second common method is to enclose the shape in a rectangle and subtract the areas of the shapes that lie outside the figure fromrea of the rectangle. Below, the area of the shape is found with each method.UNIT OVERVIEWGOALS AND STANDARDSMATHEMATICS BACKGROUNDUNIT INTRODUCTIONMathematics BackgroundFinding Area and DistanceStudents’ work in this Unit develops a fundamentally important relationship connecting geometry and algebra: the Pythagorean Theorem. The presentation of ideas in the Unit reflects the historical development of the concept of irrational numbers. The need for such numbers was recognized by early Greek mathematicians as they searched for ratios of integers to represent side lengths of squares with certain given areas, such as 2 square units. The square root of 2 is an irrational number, which means that it cannot be written as a ratio of two integers.Students find areas of plane figures drawn on dot grids. This activity reviews some concepts developed in the Grade 6 unit Covering and Surrounding. One common method for calculating the area of a figure is to subdivide it and add the areas of the component shapes. A second common method is to enclose the shape in a rectangle and subtract the areas of the shapes that lie outside the figure from the area of the rectangle. Below, the area of the shape is found with each method.112Subdivide to find the area:2 2 1 1 6242122121Enclose in a square to find the area:121216 (4 2 2   1  ) 6In Investigation 2, students draw squares with as many different areas as possible