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If you lot're trying to effigy out what ten squared plus ten squared equals, you may wonder why in that location are letters in a math problem. That's because, in the case of an equation like this, ten tin can be whatever you want it to be. To find out what ten squared plus x squared equals, you have to multiply x times itself. And then you add together that number to itself to become your final reply.

Examples of X Squared Plus X Squared

Here are some examples of that equation to make it easier to understand. If x equals 2, then x squared, or x times itself, equals 4. Add four to itself, and you get eight. Therefore, 2 squared plus 2 squared equals 8.

To use some other instance, let's see what happens when 10 equals iii. In that case, x squared equals 9. Then, 9 plus 9 equals 18. The beauty of this equation is that x can equal annihilation, and yous tin can solve it using whatever value y'all want for x.

Math that Uses Messages

We call mathematics that uses letters to take the place of different values algebra. Algebra uses symbols ― in most cases, letters ― to represent quantities that don't necessarily have the same value all the fourth dimension. These quantities are called variables, and you lot can effigy out what those variables hateful when yous use algebra.

Equations are like sentences that explicate the relationships betwixt numbers and variables. You lot figure out what the variables in an equation are by solving information technology. When you solve an equation in algebra, y'all break information technology down to its simplest form and discover what the variables mean.

A Brief History of Algebra

Since aboriginal times, mathematicians have worked with unknown variables in unlike ways. Islamic scholars began to give the science of working with variables a proper name. They called this blazon of math the "science of restoration and balancing," and the Arabic discussion for "restoration," or "al-jabru," became the root word for the word "algebra."

Equally mathematicians in the Heart Ages experimented with the principles of algebra, they realized they could solve equations for 2- and three-dimensional items, which led to fifty-fifty more than discoveries of what algebra could do. Modernistic scholars accept establish fifty-fifty more circuitous equations that algebra tin solve.

Algebra in Everyday Life

You may take heard people say that you'll never use algebra in your everyday life, but you lot'd be surprised at how oft you lot utilize algebra. Algebra comes in handy when yous're trying to figure out how much a group of items costs per item. When yous're trying to figure out how to split a eating house beak or how much gas you can buy for a certain amount.

You can use algebra to effigy out the dimensions of a room or even equally y'all make up your shopping list. Algebra is a versatile form of math that you employ more often than you might think and, sometimes, you don't even realize that you're solving math issues.

Why It's Important to Learn Algebra

Learning algebra is of import for more than merely solving equations. Educators consider algebra the gateway to higher forms of math, so if you or your child wants to explore a career in scientific discipline or technology, algebra can unlock and then many more new ideas.

Algebra can too aid students with critical thinking and logic skills. Using algebra is like practice that helps brand your encephalon stronger. Putting algebra to use in your everyday life can help you in so many ways.