An equation is a statement that the two quantities (expressed algebraically) are equal.
An equation always has an equal sign.
To solve an equation means to determine the value of the variable (unknown) that makes two sides of the equation equal.
Equations have existed for a very long time and were first invented by a Persian mathematician Muhammad ibn Musa al-Khwarizmi.
Al-Khwarizmi defined two basic processes that helped solve equations:
- al-jabr – the process of removing negative terms from an equation
- al-muqabala – the process of reducing positive terms of the same power when they appear on both sides of an equation
Depending on the relationship between the two quantities, equations could be of different types: linear, quadratic, exponential, etc.
A solution of an equation is also called a root.
Decide, which ones of the following are equations:
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