Equal
An equation is a mathematical statement that asserts the equality of two expressions. Equations consist of the expressions that have to be equal on opposite sides of an equal sign. Energy equation is an equation about energy.
That is called an equation. An equation has an equal sign (=), and expressions on both sides of the equal sign.
If both sides are equal, it's called an equation. If both sides are NOT equal, it's called an inequality.
The equation for the Pythagoras Theorem is written as: a2 + b2 = c2. The theory of this equation is to provide analysis of the sum of squares from 2 different sides.
Substitute the value found back into the equation, evaluate the expressions and see if the resulting equation is true.
check the solution.
An expression is any combination of symbols that can be evaluated to a number (or perhaps to some other data type). An equation has an equal sign, and an expression on both sides of the equal sign - it is a claim that the two expressions are equal.
That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
It is important to check your answers to make sure that it doesn't give a zero denominator in the original equation. When we multiply both sides of an equation by the LCM the result might have solutions that are not solutions of the original equation. We have to check possible solutions in the original equation to make sure that the denominator does not equal zero. There is also the possibility that calculation errors were made in solving.
Details may vary depending on the equation. Quite often, you have to square both sides of the equation, to get rid of the radical sign. It may be necessary to rearrange the equation before doing this, after doing this, or both. Squaring both sides of the equation may introduce "extraneous" roots (solutions), that is, solutions that are not part of the original equation, so you have to check each solution of the second equation, to see whether it is also a solution of the first equation.
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It often helps to isolate the radical, and then square both sides. Beware of extraneous solutions - the new equation may have solutions that are not part of the solutions of the original equation, so you definitely need to check any purported solutions with the original equation.