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In algebra it looks like this Completing the square also has the advantage of putting the equation in standard form So, by adding (b/2)2 we can complete the square
The result of (x+b/2)2 has x only once, which is easier to use This is a fairly easy equation to factor, but we will use the complete the square process to see how they relate We can't just add (b/2)2 without also subtracting it too
Otherwise the whole value changes
So let's see how to do it properly with an example Simplify it and we are done If you’re just starting out with completing the square, or if the math isn’t exactly adding up, follow along with these easy steps to become a quadratic whiz. We will discuss its applications using solved examples for a better understanding.
Watch this video to learn about completing the square Completing the square is a way to solve a quadratic equation if the equation will not factorise It is often convenient to write. When completing the square, the number we add to both sides or add and subtract on one side is
Take the coefficient of x, then half then square it
This is so that it completes the perfect square on that side of the equation, and we're able to factor it as such. Completing the square is an algebraic method used to rearrange a quadratic equation from y = a𝑥2+b𝑥+c to the form of y = a (𝑥+b)2+c Completing the square allows us to solve quadratic equations that cannot be factorised and to find the turning point of a quadratic. Completing the square is a method used to solve quadratic equations, simplify expressions, and rewrite quadratic equations in a way that makes it easier to solve or analyze
It involves turning a quadratic expression into a perfect square trinomial Imagine we have a simple expression like x2 + bx. For example we can complete the square for the equation x2+ 4x + 3
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