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We can use a method called completing the square. Let's start with the solution and then review it more closely. ( 1 ) x 2 + 6 x = − 2 ( 2 ) x 2 + 6 x + 9 = 7 Add 9, completing the square.
Step 1 Divide all terms by a (the coefficient of x2 ). Step 2 Move the number term ( c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Completing the square is a method that is used for converting a quadratic expression of the form ax 2 + bx + c to the vertex form a(x - h) 2 + k. The most common application of completing the square is in solving a quadratic equation.
To complete the square, first, you want to get the constant (c) on one side of the equation, and the variable (s) on the other side. To do this, you will subtract 8 from both sides to get 3x^2-6x=15. Next, you want to get rid of the coefficient before x^2 (a) because it won´t always be a perfect square.
Completing the square method is used to solve quadratic equations and find the roots. Learn how to solve the given quadratic equation using completing the square method at BYJU’S.
Completing the square is a technique for rewriting quadratics in the form (x + a) 2 + b . For example, x 2 + 2 x + 3 can be rewritten as ( x + 1 ) 2 + 2 . The two expressions are totally equivalent, but the second one is nicer to work with in some situations.
14 de nov. de 2023 · Completing the square is a way to solve a quadratic equation if the equation will not factorise. It is often convenient to write an algebraic expression as a square plus...
