1. Introduction
Mathematicians are truth seekers. Sometimes mathematicians stumble upon discoveries that do not fit into the current paradigm. Equations first started as ways to solve problems that existed in the real world. For example if there are 12 oxen originally in a pen and one night a robber comes to town, and later, there were 4 oxen left in the pen how many were stolen? We can represent this problem with the equation 12 − x = 4. This equation is easy to solve. We add x on both sides of the equation and subtract 4 to get 8, meaning that 8 oxen where stolen that night. In this real world application the rancher would subtract the previous number of oxen left from the starting amount of oxen to solve for how many were stolen. Representing this with an equation allows us to use algebra to solve for unknowns. Therefore solutions are the values that make an equation true. Mathematicians study similar relations called functions.
Mathematicians are truth seekers. Sometimes mathematicians stumble upon discoveries that do not fit into the current paradigm. Equations first started as ways to solve problems that existed in the real world. For example if there are 12 oxen originally in a pen and one night a robber comes to town, and later, there were 4 oxen left in the pen how many were stolen? We can represent this problem with the equation 12 − x = 4. This equation is easy to solve. We add x on both sides of the equation and subtract 4 to get 8, meaning that 8 oxen where stolen that night. In this real world application the rancher would subtract the previous number of oxen left from the starting amount of oxen to solve for how many were stolen. Representing this with an equation allows us to use algebra to solve for unknowns. Therefore solutions are the values that make an equation true. Mathematicians study similar relations called functions.
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f(x) = (x^2)-2
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f(x) = (x^3)+[(4x)^2]-5
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