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Q: In a unit analysis you check to see if the expressions on both sides of the equation are?
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What is mean by energy equation?

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.


What is any mathematical statement that declares the values of two mathematical expressions to be equal?

That is called an equation. An equation has an equal sign (=), and expressions on both sides of the equal sign.


What is a mathematical sentence that compares expressions that are equal?

If both sides are equal, it's called an equation. If both sides are NOT equal, it's called an inequality.


What is the equation for Pythagoras theorem?

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.


How do you determine whether a number is a solution of an equation?

Substitute the value found back into the equation, evaluate the expressions and see if the resulting equation is true.


If you multiply both sides of an equation by an expression that involves a variable you must?

check the solution.


What are the differences and similaries between expressions and equations?

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.


What do you call the solution of a equation derived from an original equation that is not a solution of the original equation?

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.


When solving a rational equation why is it necessary to perform a check?

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.


What are the steps to solving a radical equation?

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.


The in an equation connects both sides of the equation?

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In general when solving a radical equation should you first isolate the radical and then both sides?

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.