How do you answer the question completing the square?

Correct answer: Completing the square just means adding the same number to both sides of the equation — which, remember, doesn’t change the value of the equation — in order to create a perfect square. In this case, we need to add 4 on both sides so that the right-hand side of the equation factors neatly.

How do you do completing the square in GCSE maths?

How to complete the square?

1. HALVE the coefficient of x to find a: a = ½p.
2. SUBTRACT the square of a from q to find b: b = q – a.
3. WRITE DOWN the answer using your values for a and b: (x + a)2 + b.

What GCSE grade is completing the square?

GCSE Maths Completing the Square – Level 6 to 9.

What is completing the square formula?

Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial . To solve ax2+bx+c=0 by completing the square: Add the square of half the coefficient of the x -term, (b2a)2 to both sides of the equation.

Is completing the square method removed?

Answer: yes dude… it’s removed from the syllabus.

What does completing the square tell you?

Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary. One application of completing the square is finding the maximum or minimum value of the function, and when it occurs.

Why do you complete the square?

Completing the Square is a technique which can be used to find maximum or minimum values of quadratic functions. We can also use this technique to change or simplify the form of algebraic expressions. We can use it for solving quadratic equations.

Why do we complete the square?

What is completing the square method?

What are the steps to complete the square?

Step 1 Divide all terms by a (the coefficient of x 2). 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.

What is are the advantage of completing the square?

The advantage of using Completing the Square method over factorization is that, we can even find the complex roots also very easily. And then, we have a direct formula called Quadratic Formula, which is even more simple. Using Quadratic formula and Discriminant, we can understanding the nature of roots without even solving the entire problem.

What is an example of completing the square?

Completing the Square Formula For example, if a ball is thrown and it follows the path of the completing the square equation x 2 + 6x – 8 = 0 . The maximum height of the ball or when the ball it’s the ground would be answers that could be found when the equation is in vertex form.

Does completing the square always work?

Completing the square will always work for any quadratic, because you can always manipulate any quadratic by following completing the square.