Black hole
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The document shows an algebraic manipulation that begins with equating X squared to itself, then subtracting X squared from both sides and factorizing the expression on the right side. This leads to equating 1 to 2, which is a contradiction, suggesting there is an error in the steps.
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ข้อสอบกลางภาคเรียนที่ 1 ปีการศึกษา 2555 ม.3 พื้นฐาน
1. This document contains 30 systems of linear equations with their corresponding solutions.
2. The linear systems range from 2 to 4 equations each and are presented in a table format with the equations on the left and solutions on the right.
3. The solutions include points such as (0,3), (-2,0), and (-1,4) as well as lists of points like (1,4), (7,7), (-3,-8).
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This document provides 10 systems of linear equations and asks to find the solution to each system. It lists the equations for 10 different systems of linear equations, with the unknowns x1, x2 and x3. The task is to solve for the values of the unknowns that satisfy all equations simultaneously in each system.
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The document provides 10 examples of word problems involving quadratic equations. For each problem it defines the variables, sets up the quadratic equation, solves for the zeros, and states the answer.
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1. The document contains 10 math word problems with solutions.
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1. The distributive property, which involves multiplying each term of one polynomial with each term of the other.
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The document shows examples of advanced factoring techniques including factoring by grouping, factoring quadratics, and factoring a polynomial into linear factors in order to graph the solution set. It provides step-by-step workings to factor expressions into their simplest linear factors in order to determine possible solutions for equations.
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The document provides information on algorithms for drawing basic geometric shapes like lines, circles, and ellipses digitally. It discusses:
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2. Bressenham's line algorithm which determines which pixel to plot by comparing the distance of potential pixels to the true line using a decision parameter that is updated iteratively.
3. The midpoint circle algorithm which uses a decision variable to iteratively choose pixels on the circumference of a circle based on whether their midpoint is inside or outside the circle.
4. It provides the basic steps of the midpoint circle algorithm and discusses extending it to
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This document provides examples of multiplying monomials and polynomials. It begins with an anticipatory set asking students to find the area of x3(x-4). It then defines multiplying polynomials by monomials. The document provides 6 examples of multiplying monomials by polynomials. It revisits the anticipatory set and provides 2 more examples. It ends by asking how the laws of exponents apply to this topic.
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ข้อสอบกลางภาคเรียนที่ 1 ปีการศึกษา 2555 ม.3 พื้นฐาน
ข้อสอบกลางภาคเรียนที่ 1 ปีการศึกษา 2555 ม.3 พื้นฐาน
Solving Trinomial Equations with Negatives X Coefficient
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Tugas matematika menemukan konsep persamaan kuadrat
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Black hole
- 1. By Grup 6
- 3. X2 = X2 X2 - X2 = X2 - X2 X (X - X ) = ( X + X )( X - X ) X (X - X ) = ( X + X )( X - X ) X = X + X X = 2 X 1 = 2 (1) So ……. 1 = 2 +( -X2 ) X2 - Y2 = (X - Y )(X + Y)