Hello all my friends from the Steemit community, I was away for work reasons, now back I want to share with you a very simple mathematical technique known as square completions that help us solve equations such as:

[IMAGE: https://steemitimages.com/DQmct64ScZSCXcGTsPr96JGRSqTEWTdFxpyyzhXx2JHEgmG/11.jpg]

• Step 1

Adding and subtracting the quotient square (the division / fraction), the coefficient of x between 2

[IMAGE: https://steemitimages.com/DQmexMi7fA4gf9E35S64aqJdmMv4JVY4NBCFa6nGaTAAgnk/22.jpg]

• Step 2

By grouping terms, you will get a perfect square trinomial. The terms x^2 , bx and + b^2/2^2

[IMAGE: https://steemitimages.com/DQmS4a3EcARfm6KetThqhVeqCeLbmGozNFTiZpTsLVSGhJt/33.jpg]

• Step 3

Factoring (reducing) this trinomial to a squared binomial, which was obtained: (1) extracting the square root of the first term from the trinomial sqrt(x^2) = x, which will be the left-hand side of the binomial; (2) by extracting the square root of the third term from the trinomial sqrt(b^2/2^2) = b/2, which will be the right term of the binomial; (3) using the sign of the second term of the trinomial + bx as the sign separating the terms of the new binomial

[IMAGE: https://steemitimages.com/DQmWJ3VGUjakmq7SHQvt7AEp6qSrdyReuAVUTEyujj4b3Vo/44.jpg]

Here I leave an example of the application of this technique which is very useful when we just want to clear the variable and not find the roots of the quadratic function.

[IMAGE: https://steemitimages.com/DQmeG1QCaWuPLRs1JhvNvvWqczEsXfWC9frBw3Jief8FQje/1.jpg]

I hope you enjoy this technique, follow me @falcao12