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solve the quadratic equation by completing the square x2 10x 18 0. Completing the square is very powerful because you could actually always apply this and in the future what you will learn in the quadratic formula and the quadratic formula actually comes directly out of completing the square. Take the coefficient of x which is 10 divide by two giving 5 and finally square it giving 25.
Root 2 at xy 912 000 Solve Quadratic Equation by Completing The Square 22 Solving x 2-10x8 0 by Completing The Square. In solving equations we must always do the same thing to both sides of the equation. Iii Complete the square by adding the square of one-half of the coefficient of x to both sides.
Two numbers r and s sum up to 10 exactly when the average of the two numbers is frac1210 5.
Iv Write the left side as a square. In solving equations we must always do the same thing to both sides of the equation. Lesson 10 of Topics in Precalculus. In fact when youre applying he quadratic formula youre essentially applying the result of completing the square.